Aberdeen were held to their third goalless draw in four games as Inverness stretched their unbeaten run to nine games.
After an evenly-contested first half, both sides had chances to snatch all three points at the close.
Barry Nicholson came close to putting the home side in front but his shot from John Stewart's pass hit the post.
Six minutes from time Jamie Langfield did well to keep out an angled drive from Caley substitute Dennis Wyness.
Early on Inverness player-manager Craig Brewster had a good chance when he was set up by 18-year-old Rory McAllister, but he could only slice his left-foot effort wide of the goal.
The visitors defended solidly, to the clear frustration of Aberdeen, and when they did finally manage to break them down, Stewart wasted a good chance with a half-volley off target.
Brewster wasted another good chance just before the break when Ross Tokely's cross was touched on to him at the far post, but it bounced too high for him to get decent purchase on the shot.
After the break, Aberdeen finally began to take more grip on the game and Mark Brown did well to save Jamie Smith's deflected free-kick.
Then Gary Dempsey looked to have finally broken the deadlock with a drive that was beyond the grasp of Brown, but Grant Munro headed the ball over the bar.
It was the visitors who came closest to snatching victory at the end, however, through when Brewster set up the on-loan Wyness.
He fired in a shot form a tight angle, but Langfield blocked it with his leg to ensure another draw for the Dons.