His regular position was as a forward. He played for Manchester United and Wrexham. Albert Kinsey played a major role in Wrexham"s promotion to League Division 3 in season 1969-1970, finishing as joint leading scorer in the Football League, with 26 goals.
Three years later, he became the first player to score a goal in European competition for Wrexham, helping them to draw 1-1 at F.C.Zurich, who were eventually defeated 3-2 on aggregate.
He later joined Crewe Alexandra before dropping into non-league football with Wigan Athletic, where he scored one goal in five Northern Premier League games in the 1973-1974 season.