Victory at McDiarmid Park would have seen Derek McInnes' men leapfrog Celtic, but Aberdeen can perhaps count themselves as fortunate to get a share of the spoils.
David Goodwillie had an early effort disallowed for offside for the visitors, before Simon Lappin put St Johnstone in front on the half-hour mark.
Lappin's first league goal since 2008 was worth the wait as he netted a superb volley.
Aberdeen were given a let-off when Lee Croft's shot struck the post and it was a reprieve they took advantage of it as Adam Rooney hauled the sides level 12 minutes after the restart, powering home from outside the area.
A double save from Scott Brown to thwart Murray Davidson and Michael O'Halloran then denied St Johnstone a late winner.
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