• READ MORE: Hibs fans hit out at board over EBT review decision
Anthony Stokes had scored a brace himself, netting a 21st-minute penalty before capitalising on some slack defending to put Hibernian well in command 12 minutes into the second half.
But Moult - who earlier hit the woodwork - headed Motherwell back in the game and made it 2-2 with an impressive strike 10 minutes later.
The visitors threatened to complete the comeback but Hibs composed themselves.
Hibs had looked more threatening in the opening stages with Brandon Barker making good progress down the left wing, and Simon Murray shot wide of the near post from John McGinn’s low cross.
The hosts had a strong penalty claim when Carl McHugh appeared to clip Stokes’ heels but Barry Cook played on.
Cook took action when Motherwell had an appeal five minutes later but only to book Richard Tait for diving after he went down theatrically, although footage appeared to show Marvin Bartley catching his foot.
Boyle soon got goal-side of Dunne following McGinn’s pass inside the defender and the winger went down. Cook pointed to the spot and Moult was booked for dissent as the visitors argued there was no contact. Stokes stroked the ball down the middle of the goal as Trevor Carson threw himself to his right.
Moult missed a good chance to level when he headed well over after Chris Cadden’s corner found him unmarked at the back post, before Stokes headed over from six yards following Barker’s cross.
Motherwell continued to make chances before the break and Moult hit the junction of the bar and post after a one-two with Andy Rose. Ryan Bowman screwed wide from Cadden’s cross and Hibs goalkeeper Ofir Marciano looked uncomfortable at some more Cadden corners.
The visitors shot themselves in the foot 10 minutes into the second half. Cedric Kipre did the hard part well by stopping Barker’s dangerous burst following a one-two with Stokes, but he dithered on the ball 15 yards from goal and was dispossessed by Stokes, who stabbed the ball into the top corner.
Motherwell were back in it seven minutes later when Moult converted Craig Tanner’s free-kick from close range and the substitute set up Bowman moments later but Steven Whittaker twice blocked.
Another sub, Gael Bigirimana, then opened up play on the edge of the Hibs box to feed Moult, although the striker had plenty to do. He did it in style, turning and creating space to drive home his seventh goal of the season from 20 yards.
Bowman had a header saved as Hibs continued to flounder but they got a grip of the game and Stokes went close from a free-kick.