Tranmere hit the woodwork twice as they were denied a first home win in League One this season by Stevenage.
A curling effort from Rovers striker Jean-Louis Akpa Akpro struck the crossbar in the first period.
And full-back Evan Horwood hit a post from 25 yards after the break for Ronnie Moore's side.
Chris Atkinson shot wide and saw another effort saved by visiting keeper Chris Day, while Jimmy Smith's weak header was the closest Stevenage came.
VIEWS FROM THE DRESSING ROOM
Tranmere Rovers manager Ronnie Moore told BBC Radio Merseyside:
"We had enough of the game to have won it. The two that have hit the post were fantastic strikes. We just didn't get the breaks on the day.
"We looked a lot more solid and moved the ball well. There's something to build on, and overall it was pleasing, but it's disappointing that we couldn't take the three points."
Stevenage manager Graham Westley told BBC Three Counties Radio:
"We've come here and we've worked very hard to get a clean sheet. I thought our organisation, on the whole, was good.
"I'm disappointed to go back with just the one point, but in the early days of the season these points weren't looking likely.
"You might say we've got no out and out attacking player, but Luke (Freeman) and Lionel Messi are a similar type of player and you wouldn't accuse Barcelona of playing without an attacking threat.
"One goal conceded in three games, something must be improving."
Tranmere Rovers 33 Mooney 02 Holmes 03 Horwood 05 Goodison (Taylor - 61' ) 20 Dugdale 12 Rowe 14 Atkinson 17 Power Booked 07 Thompson Booked (Sodje - 82' ) 09 Lowe 26 Akpa Akpro Substitutes 13 Ramsbottom 18 Jones 04 Taylor 16 Stockton 19 Sodje Stevenage 16 Day 05 Ashton 22 Gray 29 Hartley 34 Deacon Booked 14 Heslop Booked 17 Tansey (Burrow - 61' ) 24 Doughty Booked (Wedgbury - 87' ) 15 Freeman 20 Smith (Tounkara - 57' Booked ) 32 Shroot Substitutes 01 Arnold 03 Hills 06 Jones 23 Lopez 02 Wedgbury 10 Burrow 21 Tounkara