Gbedemah was originally a member of the
United Gold Coast Convention. He left with Dr
Kwame Nkrumah to form the
Convention People's Party (CPP). Gbedemah was an important member of the CPP because of his organizational ability. He was influential in getting Nkrumah elected to the
Legislative council on 8 February 1951 at the
Elections for the Legislative Assembly. He organized Nkrumah's entire campaign while Nkrumah was still in prison, detained by the colonial government. Nkrumah duly won the
Accra Central Municipal seat. This led to Nkrumah being released on 12 February 1951 and his being invited to form a government. Gbedemah is in some reports named as being the first to welcome Nkrumah after his release from
Fort James prison. Gbedemah, who himself got elected into the Legislative Assembly, became the first Ghanaian
Minister for Health and Labour in Nkrumah's government. In 1954, he became the
Minister of Finance, a position he held for seven years. He was influential in getting an initially reluctant United States government to back the building of the
Akosombo Dam. Later, as his relationship with Nkrumah deteriorated, Gbedemah was demoted by Nkrumah to the post of Minister of Health in May 1961. He is alleged to have fled as there were plans to place him under preventive detention. While in exile, he is known to have continued to lobby the US over the
Akosombo Dam project. From 1957 to 1961, Gbedemah served as President of the
World Federalist Movement, an international non-governmental organization promoting federal world government. He was one of the signatories of the agreement to convene a convention for drafting a
world constitution. As a result, for the first time in human history, a
World Constituent Assembly convened to draft and adopt the
Constitution for the Federation of Earth. == Howard Johnson's restaurant incident ==