Matthew Archer was a Ghanaian lawyer and politician. He was a member of the Progress Party and a member of parliament for the Wassa East constituency in the first Parliament of the Second Republic of Ghana.

He was born on 6 June 1931in Ghana. He holds a Bachelor of Law Degree from the University of Birmingham, Gibson Weldon College of Law.

As a member of parliament for the Wassa East constituency, he was also a member of the Parliamentary Selection Committee alongside B. K. Adama -the Chairman of the Committee as well as K. A. Boaitey, Kinsley Abeyie, Amua-Sekyi, E. T. O. Oyeh who were also members of parliament.

Archer was elected after polling 6,643 votes out of 8,614 total valid votes cast during the 1969 Ghanaian parliamentary election. He was elected over James Gyimah Amoo of the APRP, Jimah Moses Kofi of the NAL, and Joseph Kwamena Sampson of the PAP.

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