Both teams had chances but it ended all square to leave Celtic needing four more points to clinch the title - their next match is at home to Kilmarnock on Saturday.
Fifth-placed Hibs, who host Hearts next Sunday, continued their unbeaten league run under Paul Heckingbottom to move three points clear of their city rivals.
In the day's other game, Ladbrokes League 1 champions Arbroath drew 2-2 with Raith Rovers at Gayfield. Kevin Nisbet scored twice for the visitors, with Gavin Swankie and Ryan Wallace on target for the Red Lichties.