Match ends, Tottenham Hotspur 1, Burnley 0.
Spurs manager Mauricio Pochettino said it was important to follow up their dramatic qualification for the Champions League last 16 in midweek with victory against Burnley in the league.
The Londoners needed Lucas Moura's 85th-minute equaliser at Barcelona on Tuesday to earn a spot in the knockout round, and another late strike on Saturday meant they keep up the pressure on the Premier League's top two.
This time it was substitute Christian Eriksen who came to their rescue when he slammed his shot past Joe Hart in the 91st minute.
"It is a very good week for us and a fantastic win for us today," Pochettino told BBC's Match of the Day. "It is so important to be focused and try to keep our energy.
"After the Barcelona game and qualifying for the next stage of the Champions League, it is difficult to find the way to perform like this.
"Today I congratulate my players' effort and the fans. It was a late victory but so important for us."
It looked as if the Clarets would come away with a deserved point following a tremendous defensive display. They limited Spurs to a handful of clear-cut chances, with Lucas Moura and Son Heung-min both going close, while Hart produced a magnificent save to deny Erik Lamela.
The victory moves third-placed Spurs to 39 points and within three of Liverpool in second. Burnley remain in 17th with 12 points - two points above the relegation zone.
Spurs rewarded for their patience
Perseverance paid off for Tottenham in midweek and it did so again against Burnley.
Mauricio Pochettino's men tried several combinations to unlock the visiting defence, but time and time again they were thwarted. Most of their forays broke down on the edge of the area.
They did, though, break through on a handful of occasions, with Moura and substitute Son going close. The Brazilian, the hero against the Catalans last Tuesday, poked a volley wide before Son's angled drive just missed Hart's far post.
In between those two chances, Hart pulled off a superb stop to deny Lamela.
With seconds remaining Pochettino, wearing a woolly hat in wet Wembley conditions, looked a beaten man until one of his generals raised his spirits and brought the home support to their feet.
It was striker Harry Kane the provider, as he laid the ball into the path of Eriksen, who fired his shot beyond the reach of Hart.
Clarets' resilience unrewarded
The result was cruel on Burnley.
This was the sort of resolute performance against one of the 'Big Six' we got used to seeing from Sean Dyche's side last season. They defended from the front and restricted the space for attacking players Kane, Dele Alli and Lamela by hunting them down in pairs.
This focus on defence meant Tottenham keeper Hugo Lloris had a quiet time at the other end. The Frenchman did, however, suffer one of his lapses in concentration when his poor pass out of defence was almost punished by a header from Ashley Barnes.
Barnes also had a scissor-kick inside the area blocked by Kane in the first half.
Man of the match - Harry Kane (Tottenham)
'I feel for the players' - What they said
Burnley manager Sean Dyche on BBC's Match of the Day: "Obviously we are frustrated and disappointed in the outcome but a lot of positives. My only gripe is we get done by a whack down the pitch.
"Inevitably we didn't deal with that final moment and they nick a goal. There were good signs from the mentality we know we have to win games. There is a resilience and organisation but we are playing a top side - it is difficult to come down here.
"Away from home against sides like this you have got to try and model a team that can still get a result. I feel for the players because they put a proper shift in today and did the basics well. The last three or four games we are getting back to what we can be - we need more attacking prowess but it is difficult."
Poch wins his 100th league match - the stats
- None of Tottenham's past 21 Premier League games have ended in a draw, with Spurs winning 16 and losing five since a 1-1 at Brighton in April.
- Only Bolton in 2011-12 (18) have had a longer run without a draw from the start of a Premier League campaign than Spurs this season (17).
- Burnley failed to register a single shot on target in this match. It's the third time they've done so in the Premier League this season - no other side has done so more than once.
- Lamela had 47% of Tottenham's shots in this match (7/15) and 67% of their shots on target (two out three).
- Eriksen scored Tottenham's first 90th-minute winner in the Premier League since April 2017 (Son v Swansea).
- Eriksen's goal was his first for Tottenham as a sub in the Premier League, in his 10th appearance from the bench in the competition.
- Pochettino won his 100th Premier League match as Tottenham manager in his 169th game with them in the competition.
Tottenham have a Carabao Cup quarter-final tie at arch-rivals Arsenal on Wednesday (19:45 GMT), and Burnley are at the Gunners next Saturday (12:30 GMT).
- 52SkippSubstituted forSon Heung-Minat 75'minutes
- 11LamelaSubstituted forLlorenteat 82'minutes
- 27Lucas MouraSubstituted forEriksenat 65'minutes
- 7Son Heung-Min
- 26BardsleyBooked at 68mins
- 25LennonSubstituted forVokesat 90+3'minutes
- 12BradyBooked at 63minsSubstituted forHendrickat 90+2'minutes
- 10BarnesSubstituted forWoodat 80'minutes
- Graham Scott
- Shots on Target
Second Half ends, Tottenham Hotspur 1, Burnley 0.
Substitution, Burnley. Sam Vokes replaces Aaron Lennon.
Substitution, Burnley. Jeff Hendrick replaces Robbie Brady.
Goal! Tottenham Hotspur 1, Burnley 0. Christian Eriksen (Tottenham Hotspur) right footed shot from the centre of the box to the bottom left corner. Assisted by Harry Kane.
Attempt missed. Dele Alli (Tottenham Hotspur) right footed shot from the left side of the six yard box is close, but misses to the left.
Hand ball by Ben Davies (Tottenham Hotspur).
Offside, Tottenham Hotspur. Kieran Trippier tries a through ball, but Son Heung-Min is caught offside.
Attempt missed. Son Heung-Min (Tottenham Hotspur) right footed shot from the right side of the six yard box is close, but misses to the left. Assisted by Fernando Llorente.
Corner, Burnley. Conceded by Danny Rose.
Attempt missed. Phil Bardsley (Burnley) right footed shot from outside the box misses to the left. Assisted by Ashley Westwood.
Attempt blocked. Chris Wood (Burnley) right footed shot from the left side of the box is blocked. Assisted by Robbie Brady.
Substitution, Tottenham Hotspur. Fernando Llorente replaces Erik Lamela.
Substitution, Burnley. Chris Wood replaces Ashley Barnes.
Offside, Burnley. Aaron Lennon tries a through ball, but Jack Cork is caught offside.
Attempt missed. Erik Lamela (Tottenham Hotspur) right footed shot from the centre of the box is close, but misses to the left following a corner.
Attempt blocked. Erik Lamela (Tottenham Hotspur) left footed shot from the centre of the box is blocked. Assisted by Christian Eriksen.
Corner, Tottenham Hotspur. Conceded by Phil Bardsley.
Substitution, Tottenham Hotspur. Son Heung-Min replaces Oliver Skipp.
Foul by Harry Kane (Tottenham Hotspur).