Hamilton and Morton both ended the game with 10 men and a point apiece in the Scottish First Division.
David O'Brien gave the away side a 15th-minute lead, heading David Graham's cross past Hamilton goalkeeper Kevin Cuthbert.
In first-half stoppage-time Hamilton went a man down after Alex Neil was shown a second yellow card for a foul on Scott Taggart.
However, the 10 men equalised with nine minutes to play when Ali Crawford fired home left-footed from 12 yards out.
Five minutes later Michael Tidser was shown a straight red card by referee Crawford Allan for foul and abusive language.
Both sides remain without a victory after two games of the season.
Hamilton: Cuthbert, McGlinchey (Gillespie 66), Canning (Gordon 23), Devlin, Hendrie, Neil, Routledge, Fisher (Fraser 68), Crawford, McShane, Longridge.
Subs Not Used: Allan, Mackinnon.
Sent Off: Neil (45).
Goals: Crawford 81.
Morton: Gaston, Taggart, Reid (O'Ware 49), Mensing, Dyer, Graham, Stirling, Wallace (Bachirou 66), Tidser, O'Brien, Weatherson (Campbell 74).
Subs Not Used: Combe, Wilkie.
Sent Off: Tidser (86).
Goals: O'Brien 15.
Ref: Crawford Allan