The Perth side's struggles in the final third continue as County get over the line fairly comfortably.
A free kick from Iain Vigurs whistled straight in just before half time.
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Iain Vigurs settled the game with a first-half free-kickImage caption: Iain Vigurs settled the game with a first-half free-kick
GREAT SAVE!
St Johnstone 0-1 Ross County
Finally, St Johnstone fashion a clear chance. Scott Tanser launches a high ball into the box, it's knocked down and falls to Murray Davidson, who takes a nice touch and lashes it goalwards, only to be denied by Ross Laidlaw.
Post update
Celtic 3-2 Livingston
Shane Duffy, looking to make it three goals in three games, leaps highest to meet a David Turnbull corner but the Celtic defender's header drifts wide.
GREAT SAVE!
Kilmarnock 2-1 Hamilton
Aaron Tshibola is denied by Ryan Fulton at the near post as Killie try to kill this game on the counter attack.
Post update
Dundee United 2-1 St Mirren
Chances at both ends at Tannadice.
Dundee United, even against 10 men, still look vulnerable at the back and Ilkay Durmuş gets up for a header at the back post but it is saved by Benjamin Siegrist.
Then space opens up for Logan Chalmers and he fires in an effort that whizzes just past the post.
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St Mirren have done well since losing Richard Tait to a red cardImage caption: St Mirren have done well since losing Richard Tait to a red card
'Serrano looks a decent player'
Celtic 3-2 Livingston
Billy Dodds
Former Scotland striker on BBC Sportsound
Quote Message: Serrano has been tested defensively throughout the game and he's coped quite well. He's also got forward often and that is some strike from him.
Serrano has been tested defensively throughout the game and he's coped quite well. He's also got forward often and that is some strike from him.
GOAL Celtic 3-2 Livingston
Julien Serrano
BBC SportCopyright: BBC Sport
Game on?
Jullien Serrano is given too much space as he takes down a bouncing ball around 30 yards out and rattles a stunning left-foot strike into Vasilis Barkas' top-right corner.
Brothers off the bench...
Celtic 3-1 Livingston
Brothers James and Alan Forrest are coming on at the same time. You don't see that every day.
Younger sibling Alan has it all to do, with Livingston struggling to contain Celtic, while James immediately bursts into action, poking a shot wide.
GREAT SAVE!
Celtic 3-1 Livingston
Celtic wing-back Jeremie Frimpong gets away from his man on the right and flashes in a shot that is blocked by Robbie McCrorie's legs.
'Goal out of nothing'
Dundee Utd 2-1 St Mirren
Derek Ferguson
Former Rangers and Hamilton midfielder on Sportsound
Quote Message: Initially you don't think there's any danger but Connolly does well to get half a yard and finishes it nicely. That could be a way back in for St Mirren. They've been a lot more lively since the red card.
Initially you don't think there's any danger but Connolly does well to get half a yard and finishes it nicely. That could be a way back in for St Mirren. They've been a lot more lively since the red card.
GOAL Dundee Utd 2-1 St Mirren
Dylan Connolly
St Mirren get themselves back into the game despite being a man down and it's a bit of a nightmare for Mark Reynolds.
The experienced Dundee United centre-half initially wins the ball but loses control and Dylan Connolly snatches it off him before firing home.
Game on.
BBC SportCopyright: BBC Sport
'You can't fly into tackles like that'
Dundee Utd 2-0 St Mirren
Derek Ferguson
Former Rangers and Hamilton midfielder on Sportsound
Quote Message: Why Tait even goes for the challenge in the first place is beyond me. Chalmers is right in the corner going nowhere, it's totally daft.
Why Tait even goes for the challenge in the first place is beyond me. Chalmers is right in the corner going nowhere, it's totally daft.
RED CARD
Dundee Utd 2-0 St Mirren
The visitors are down to 10 men as St Mirren full-back Richard Tait flies into an ugly challenge. He crashes into Logan Chalmers near the corner flag, with the follow through taking the Dundee United man out.
A long, long way back for the Buddies now...
'Kilmarnock showing good spirit'
Kilmarnock 2-1 Hamilton
Leanne Crichton
Scotland international on Sportsound
Quote Message: It's been a great period of pressure for Kilmarnock. Kabamba has finished it with a good bit of composure there. Kilmarnock have done very well to control the middle of the park despite only having ten men.
It's been a great period of pressure for Kilmarnock. Kabamba has finished it with a good bit of composure there. Kilmarnock have done very well to control the middle of the park despite only having ten men.
HITS THE WOODWORK
St Johnstone 0-1 Ross County
Scott Tanser is so close to an equaliser for St Johnstone!
Danny McNamara plays a ball into the channel, which Jason Kerr picks up, crosses to the back post for Tanser, whose effort on the angle comes off the bar.
GOAL Kilmarnock 2-1 Hamilton
Nicke Kabamba
BBC SportCopyright: BBC Sport
Despite being down to ten men, it's been all Killie at the start of this second half and they've got their reward.
Ryan Fulton palms Gary Dicker's long-range effort only as far as Nicke Kabamba, who fires the ball into the back of the net.
'Vigurs has been magnificent'
St Johnstone 0-1 Ross County
Allan Preston
BBC Scotland summariser on Sportsound
Quote Message: I really like young Ali McCann in midfield for St Johnstone but he is being given a real schooling from Iain Vigurs today. He's run the show in middle of the park.
I really like young Ali McCann in midfield for St Johnstone but he is being given a real schooling from Iain Vigurs today. He's run the show in middle of the park.
GOAL Dundee Utd 2-0 St Mirren
Adrian Sporle
Dundee United started the second half withr eal menace and it is no surprise to see them double their advantage.
Adrian Sporle finishes after St Mirren can't get the ball clear from a crowded box. Moments before the goal, Nicky Clark cracked a low shot off the post.
BBC SportCopyright: BBC Sport
GOAL Celtic 3-1 Livingston
Albian Ajeti
BBC SportCopyright: BBC Sport
Oh so simple from Celtic.
Olivier Ntcham drives forward and finds Ryan Christie, whose through ball is swept into the net by Albian Ajeti.
Post update
Dundee United 1-0 St Mirren
Adrian Sporle has his heads in his hands after passing up the chance to make it 2-0 to Dundee United.
A low cross is drilled to the front post and the Argentine connects cleanly with the ball, but Zdenek Zlamal stands up well to the shot from close range and deflects it clear.
Live Reporting
Colin Moffat
All times stated are UK
FULL-TIME St Johnstone 0-1 Ross County
The Perth side's struggles in the final third continue as County get over the line fairly comfortably.
A free kick from Iain Vigurs whistled straight in just before half time.
GREAT SAVE!
St Johnstone 0-1 Ross County
Finally, St Johnstone fashion a clear chance. Scott Tanser launches a high ball into the box, it's knocked down and falls to Murray Davidson, who takes a nice touch and lashes it goalwards, only to be denied by Ross Laidlaw.
Post update
Celtic 3-2 Livingston
Shane Duffy, looking to make it three goals in three games, leaps highest to meet a David Turnbull corner but the Celtic defender's header drifts wide.
GREAT SAVE!
Kilmarnock 2-1 Hamilton
Aaron Tshibola is denied by Ryan Fulton at the near post as Killie try to kill this game on the counter attack.
Post update
Dundee United 2-1 St Mirren
Chances at both ends at Tannadice.
Dundee United, even against 10 men, still look vulnerable at the back and Ilkay Durmuş gets up for a header at the back post but it is saved by Benjamin Siegrist.
Then space opens up for Logan Chalmers and he fires in an effort that whizzes just past the post.
'Serrano looks a decent player'
Celtic 3-2 Livingston
Billy Dodds
Former Scotland striker on BBC Sportsound
GOAL Celtic 3-2 Livingston
Julien Serrano
Game on?
Jullien Serrano is given too much space as he takes down a bouncing ball around 30 yards out and rattles a stunning left-foot strike into Vasilis Barkas' top-right corner.
Brothers off the bench...
Celtic 3-1 Livingston
Brothers James and Alan Forrest are coming on at the same time. You don't see that every day.
Younger sibling Alan has it all to do, with Livingston struggling to contain Celtic, while James immediately bursts into action, poking a shot wide.
GREAT SAVE!
Celtic 3-1 Livingston
Celtic wing-back Jeremie Frimpong gets away from his man on the right and flashes in a shot that is blocked by Robbie McCrorie's legs.
'Goal out of nothing'
Dundee Utd 2-1 St Mirren
Derek Ferguson
Former Rangers and Hamilton midfielder on Sportsound
GOAL Dundee Utd 2-1 St Mirren
Dylan Connolly
St Mirren get themselves back into the game despite being a man down and it's a bit of a nightmare for Mark Reynolds.
The experienced Dundee United centre-half initially wins the ball but loses control and Dylan Connolly snatches it off him before firing home.
Game on.
'You can't fly into tackles like that'
Dundee Utd 2-0 St Mirren
Derek Ferguson
Former Rangers and Hamilton midfielder on Sportsound
RED CARD
Dundee Utd 2-0 St Mirren
The visitors are down to 10 men as St Mirren full-back Richard Tait flies into an ugly challenge. He crashes into Logan Chalmers near the corner flag, with the follow through taking the Dundee United man out.
A long, long way back for the Buddies now...
'Kilmarnock showing good spirit'
Kilmarnock 2-1 Hamilton
Leanne Crichton
Scotland international on Sportsound
HITS THE WOODWORK
St Johnstone 0-1 Ross County
Scott Tanser is so close to an equaliser for St Johnstone!
Danny McNamara plays a ball into the channel, which Jason Kerr picks up, crosses to the back post for Tanser, whose effort on the angle comes off the bar.
GOAL Kilmarnock 2-1 Hamilton
Nicke Kabamba
Despite being down to ten men, it's been all Killie at the start of this second half and they've got their reward.
Ryan Fulton palms Gary Dicker's long-range effort only as far as Nicke Kabamba, who fires the ball into the back of the net.
'Vigurs has been magnificent'
St Johnstone 0-1 Ross County
Allan Preston
BBC Scotland summariser on Sportsound
GOAL Dundee Utd 2-0 St Mirren
Adrian Sporle
Dundee United started the second half withr eal menace and it is no surprise to see them double their advantage.
Adrian Sporle finishes after St Mirren can't get the ball clear from a crowded box. Moments before the goal, Nicky Clark cracked a low shot off the post.
GOAL Celtic 3-1 Livingston
Albian Ajeti
Oh so simple from Celtic.
Olivier Ntcham drives forward and finds Ryan Christie, whose through ball is swept into the net by Albian Ajeti.
Post update
Dundee United 1-0 St Mirren
Adrian Sporle has his heads in his hands after passing up the chance to make it 2-0 to Dundee United.
A low cross is drilled to the front post and the Argentine connects cleanly with the ball, but Zdenek Zlamal stands up well to the shot from close range and deflects it clear.