Morton moved equal on points with Clyde but remain in the relegation play-off position despite a draw away to in-form Queen of the South in Division One.
The visitors came nearest to scoring midway through the first half.
A 30-yard free-kick from Scott McLaughlin beat goalkeeper Jamie MacDonald but rebounded off the post.
But a point apiece was a fair result with the wind and rain making it difficult for either side to create clear-cut chances.
Queen of the South: MacDonald, McCann (O'Neill 85), Aitken, Thomson, Reid, Harris, MacFarlane, McQuilken, Burns, O'Connor (Stewart 76), Dobbie. Subs Not Used: Grindlay, Gilmour, Campbell.
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