James Graeme Sinclair (born 1 July 1957) is a Scottish former footballer, who played for Dumbarton, Celtic, Manchester City and St Mirren.
Sinclair man-marked Johan Cruyff when Celtic beat Ajax in a 1982–83 European Cup tie.
Sinclair won a Scottish League Cup winner's medal in December 1982 when he played in the Celtic side that won 2-1 in the final against Rangers.
In November 1984 his former Celtic manager Billy McNeill signed him on loan for Manchester City.
He made his debut in a 4–1 League Cup defeat at Chelsea, but made just one league appearance, against Portsmouth, in which he was substituted at half-time.