The founding members were Melvin Brown, Francis Fuster, Benjamin Selormey, Victor Amara, Daniel Gyamfi and Samuel Akpalu.

The membership of the executive committee was changed in 2009, with Michael Nunoo as the Chairman of the association and Sensei Saadisu Idrissu as the Technical Director.

The present composition of the Management Board as of May 2011 is Michael Nunoo, Chairman; Ade Sawyer, Vice-Chairman; Patrick Anyidoho-Cofie, General Secretary; Nathaniel Nartey, member; Sensei Kwabena Poku, Head Coach; Sensei Frank Danso Bekoe, Deputy Coach; and Dr. Sulley, member.

The GKA took its first outing the year it was inaugurated, in 1997, to the UFAK Zone 3 Championships in the Ivory Coast, and won two gold, four silver and two bronze medals.

The Association has also represented Ghana in three All Africa Games since its inauguration: in 1997, 2003 and 2007, when contestant Victor Lartey won by correction of a previous decision.