Garry O'Connor missed two decent chances as Hibs edged the first half and Martin Scott twice came close after the break.
Aberdeen improved after a first half in which Richard Foster threatened, but substitute Peter Pawlett had a shot cleared off the line as they pushed for a winner.
Hibs remained bottom of the SPL and, although there was little evidence of a mooted protest against manager Colin Calderwood and chairman Rod Petrie, the home side were booed off by a lower-than-average home crowd.
Hibernian escaped an early penalty claim when Sean O'Hanlon clumsily bundled Scott Vernon over just inside the box, but referee Stevie O'Reilly was unconvinced an offence had taken place.
O'Connor had two good chances for the hosts but he shot weakly at David Gonzalez when played into the right channel and completely missed his kick after Ivan Sproule's square ball across the edge of the box.
Aberdeen immediately broke and Richard Foster curled inches over the far top corner after cutting inside Hibs right-back Richie Towell.
Scott drew a diving parry from Gonzalez early in the second half after chesting the ball down and volleying towards the top corner from 30 yards.
Pawlett came on for the visitors and soon had a chance when Graham Stack's clearance fell for him 30 yards out with the goalkeeper stranded. Pawlett aimed for the bottom corner but Paul Hanlon stretched out his leg to divert the shot wide.
Hanlon headed just over at the other end, but the Dons came close to a last-minute winner when Stack stopped a 20-yard strike from Josh Magennis before blocking the rebound from Foster, who was flagged offside anyway.
Source: PA
Source: PA