Ten-man Torquay stretched their unbeaten League run to eight games with a gritty performance in the second half.
They had to play a man short from the 19th minute, when right winger Tony Bedeau was sent off by referee Clive Penton for a lunging foul on Simon Weaver which removed the boot of the Lincoln midfielder.
Torquay nearly broke through just before half time when they hit the woodwork twice while Lincoln also hit the post once.
Leading scorer David Graham, trying to equal a club record of scoring in seven consecutive League games, hit the post with a brilliant turn and shot in the 35th minute.
Lincoln striker Dene Cropper then headed against the post from a Mark Bailey cross six minutes later.
And on the stroke of half time Alex Russell and Graham put together Torquay's best move, setting up Lee Canoville for a shot which rattled the right-hand post.
Each time the ball cannoned across the goalmouth, but stayed out.
Lincoln defender Stuart Bimson also cleared the ball off his line when keeper Alan Marriott only half-stopped a Martin Gritton shot.
Lincoln's long ball tactics won them few new friends as they failed to make their extra man count in the second half.
Torquay central defenders Reuben Hazell and skipper David Woozley were both outstanding as Torquay soaked up whatever pressure Lincoln managed to exert.
Lincoln boss Keith Alexander said: "It was difficult to break ten men down, especially against such a good passing side.
"I'm happy to get a point at Torquay because everybody fancies them this season."
Alexander was also kind to Bedeau, commenting: "He had to go, but I'm sure he didn't deliberately try to hurt Simon Weaver."
Torquay boss Leroy Rosenior said: "Tony was unlucky - I thought his tackle deserved a yellow card and on another day that's what it would have been.
"There was no real intent there. It wasn't a double-footed tackle, and if their players hadn't run up and confronted him, it might have stayed just as a caution.
"I'm pleased with the result, especially because of the manner in which Lincoln approached the game - it was negative.
"I've known Keith (Alexander) for a long time, and I'm not trying to say that I'm a purist and I know everything.
"But it's really difficult when there's only one team trying to play football.
"I'm trying to educate young players coming into the game - can you imagine a youngster trying to learn the game when his team play like that.
"I'm not having a go at Keith, and each to his own, I suppose."