With a point gained in Perth on Tuesday night, it was still eight games without a win for the Steelmen, a run of form they were looking to rectify going into the November international break.
Hearts had other ideas and found themselves in front just shy of 30 minutes into the game.
VAR had checked for penalties for the visitors on two occasions, but on both occasions no penalty would be awarded.
They doubled their lead in the second half before Blair Spittal pulled one back from the spot as Motherwell looked to launch a second-half comeback once again.
Time ran out for the hosts and Stuart Kettlewell would be left frustrated at the end of the match.