Sir Archibald Birkmyre, 1st Baronet CBE (1875 – 24 June 1935) was a Scottish jute manufacturer and merchant in India.
Birkmyre was born in Port Glasgow. He became senior partner of the family firm, Birkmyre Brothers, in Calcutta and also served on the Viceroy of India's Legislative Council and the Bengal Legislative Council. He was Vice-President of the Bengal Chamber of Commerce.
Birkmyre was knighted in 1917, appointed Commander of the Order of the British Empire (CBE) in 1918, and created a baronet in the 1921 New Year Honours.
He died at the age of 59.