Morton made it three successive draws in the Championship thanks to Owen Moffat's second-half penalty at Livingston.
The home side made the breakthrough after the interval when Scott Pittman finished off from close range.
Matthew Clarke and Stevie May threatened to add to Livi's lead, while Andrew Shinnie hit the post.
Those missed opportunities were to prove costly as Liam Sole tangled with Moffat and the visiting winger tucked away the resultant spot-kick.
Livingston stay third but drop four points behind second-placed Falkirk, with Morton in sixth.
