The 1935–36 season was Stoke City's 36th season in the Football League and the 22nd in the First Division. In June 1935 long-serving defender Bob McGrory replaced Tom Mather as first-team manager and in his first season in charge Stoke went on to record their finest season up to this point finishing in 4th position in the First Division. They were never out of the top four for the last three months of the season and whilst they never really threatened runaway leaders Sunderland, Stoke were considered to be one of the best teams in the country. The 1935–36 season finish of 4th is only matched by the performance by the Stoke team of the 1946–47 season.