Two first half goals fired Dundee to the top of the SPFL Championship at Greenock.
And although Morton came back strongly after the interval the Dark Blues had done enough to earn the points.
Dundee went ahead when Craig Beattie surged past the home keeper and fired goalwards, home defender Mark McGlaughlan turning the ball into his own net.
They were two up on the stroke of half time, Declan Gallagher’s towering header from Nicky Riley’s corner giving John Brown’s men the space they fully deserved at the break.
Morton though were fighting for interim manager David Hopkin and Dougie Imrie pulled one back with an angled drive and they pressed for an equaliser, but Dundee held out to edge above Hamilton – having made up a six point gap in the space of two league games.