Hamilton survived a late Morton rally to take all three points at New Douglas Park.
Peter Weatherson's own goal gave Accies a 16th-minute lead and Jon McShane quickly added a second with an emphatic finish.
McShane's second strike on 51 minutes and Simon Mensing's long-range effort put the hosts firmly in command.
However, Mensing scored an own goal after team-mate Alex Neil's red card for two bookings before late drives by Morton's Darren McGeouch and Derek Young set up a nervous finish for Accies.
Hamilton: Blair Currie, McAlister, Canning, McLaughlin, Hendrie, Routledge, Mensing, Neil, Redmond (Kilday 86), McShane (Spence 70), Ryan (Stewart 70).
Subs Not Used: Shaw, Gillespie.
Sent Off: Neil (72).
Booked: Neil, Blair Currie, McLaughlin.
Goals: Weatherson 16 og, McShane 17, 51, Mensing 63.
Morton: Combe, Evans, Graham, Smyth (Jackson 64), Forsyth, McGeouch, Derek Young, Bachirou (Kasubandi 75), Weatherson, MacDonald, Campbell (Ramsay 78).
Subs Not Used: McGinley, O'Ware.
Booked: Graham, Forsyth, Bachirou.
Goals: Mensing 78 og, McGeouch 84, Derek Young 89.
Ref: David Somers