Radcliffe Olympic FC was founded in 1876, making it one of the oldest football clubs in Nottinghamshire, a forerunner for other clubs. During the early period the standard of players at the club was extremely high. One player who was to go on to play international football was Harry Butler Daft who played for the club in the early 1890's.

Although long term history is hard to find when looking for club honours Olympic enjoyed early success as a club. In the 1900/01 season Olympic were the Notts Alliance Champions.

The next period that found Olympic success was the early 1930's. In the 1929/30 season the club won the Notts Alliance Divisional 2 Cup. The 1931/32 season saw the club win both the Notts Alliance Division Town and the South Notts League.
The 1940's brought more silverware when in 1946/47 Olympic won both the Notts Realm League Division One and the Notts Realm League Division One Cup. In the 1947/48 season the Notts Realm League Division One Cup was retained.

Olympic next had success in the mid to late 1960's. In a six-year period between the 1965/66 and 1970/71 seasons Olympic won three Midlands Amateur Alliance League titles, the Central Alliance Premier Division, the East Midlands Regional League Division One and the Midlands Amateur Alliance Senior Cup in the 1967/88 season.

Throughout the 1990's Radcliffe Olympic hit a purple patch winning the Notts Alliance Division One in 1990/91 and the Nottm & District Spartan League Division One in 1991/92. As well as these two league Championships, Olympic had Cup success winning the Nottm & District Spartan League Cup in 1990/91, the Midland Amateur Alliance Intermediate Cup 1996/97 and were runners up in the Notts FA Intermediate Cup in 1992/93 and in the Notts Alliance Intermediate Cup in 1996/97.

As the club entered its third century the success continued. In the 2001/02 season they won the Notts Alliance Division Three Championship and the Notts Intermediate Cup. In 2002/03 they won the Notts Alliance Senior Division and the Notts Alliance Senior Cup.

In the summer of 2003 Radcliffe Olympic amalgamated with local club ASC Dayncourt to create one of the largest clubs in Nottinghamshire with it retaining the famous Radcliffe Olympic name. The club created four sections the Seniors, Intermediates, Juniors and Ladies to provided equal opportunities for everyone to play football.

The success continued in the 2003/04 season when they were crowed Champions of the Central Midland League Premier Division. The 2004/05 season saw them play in the Central Midlands League Supreme Division. The 2006/07 season saw them make their debut in the FA Vase. The 2008/09 saw them crowned Champions of the Central Midlands League Supreme Division.

The 2009/10 season saw them play in the East Midlands Counties Football League Premier Division. The 2010/11 season was a historic moment as they made their debut in the FA Cup and played seven ties in five rounds before eventually being knocked out in the Third Round Qualifier. The 2011/12 season saw them reach the EMC League Cup Final. The 2013/14 season saw them reach the EMC League Cup Semi Final. The 2014/15 season saw them reach the EMC League Cup Final. The 2017/18 season saw them relegated from the EMC League. The 2018/19 season saw them relegated from the NSL Premier Division.

This season sees them play in the Nottinghamshire Senior League Division One with a new Manager in Joe Hegarty and Assistant Dave Hignett.