Liam Kelly proved to be the match-winner for Kilmarnock again as his penalty gave the Ayrshire side a 1-0 win over Hearts.
The Scotland midfielder stepped up after James Dayton was brought down by Andy Webster in the box.
Kelly stepped up and placed the ball past Jamie MacDonald in the visitors’ goal.
Andrew Driver had threatened for the Jambos while Paul Heffernan had an early goal ruled out for offside.
John McGlynn’s men tried to find a way back into the match in the second period but couldn’t find the net.
Callum Paterson had the best chance but failed to beat Cammy Bell when one-on-one with the goalkeeper.