Struggling Torquay dominated for much of the game but were left frustrated by two goal-line clearances.
Stefan Oakes scrambled the ball off the line from a Chris Robertson header and Shane Clarke cleared another header after the break from Wayne Carlisle.
Torquay's Tim Sills should have done better late on but headed wide.
Lincoln's Oakes was denied by a superb save from Michael Poke, while Eric Lichaj opened up the Gulls defence and crossed but Cian Hughton headed over.
Lincoln City manager Chris Sutton told BBC Radio Lincolnshire:
"I think we tired a little and rode our luck towards the end but we had decent opportunities ourselves.
"The final ball is still something we need to work on, but in the end I think a point was fair.
"In terms of effort and commitment we're doing our best. Other things we can improve on but the players gave their all and that's all I can ask for."
Torquay United manager Paul Buckle told BBC Radio Devon:
"We asked for a clean sheet, we've worked hard in training all week to be solid and we did the nasty side and I thought we were by far the better team today.
"I was just waiting for the net to bulge on several occasions but it didn't happen."