An Election to Glasgow City Council was held on 1 May 1973, alongside municipal elections across Scotland. Of the councils 113 seats, 37 were up for election. Labour managed to increase its majority on the council to 55.^[1]

Following the election, Glasgow Corporation was composed of 83 Labour councillors, 25 Conservatives, 3 Progressives, and 2 ex officio members.^[1]

Turnout was 183,308, out of a total electorate of 601,506 (30.47% turnout).^[1]