Brian Wake netted a double to keep Morton's slim hopes of promotion alive.
Wake got his first after 19 minutes with a looping header from a Steve Masterton cross.
Ryan McGuffie then forced an excellent save from Roddy McKenzie with a 20-yard effort that the Livi goalkeeper tipped over the crossbar.
Livingston could not muster much in response Morton's win was secured seven minutes from time when Wake beat McKenzie with a low 16-yard shot.
Livingston: McKenzie, McKay (MacDonald 46), Malone, Griffin, Davidson, Miller, McParland, Hamill, Griffiths, Fox (Halliday 53), One (Winters 53). Subs Not Used: Sinclair, McDowall.
Morton: Cuthbert, McManus, Walker, McGuffie, Greacen, Masterton, Finlayson, Jenkins, Weatherson (Russell 76), Wake (Grady 82), McAlister. Subs Not Used: Paartalu, Monti, Cannon.
Booked: McAlister, Masterton.
Goals: Wake 19, 83.
Att: 1,815
Ref: G Salmond (Scotland).
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