Robert Armitage (22 February 1866 – 10 February 1944) was Member of Parliament for Leeds Central, England, from 1906 to 1922 and Lord Mayor of Leeds in 1904–05.
He was educated at Westminster School and Trinity College, Cambridge, and was director of several mining companies including Brodsworth Main Colliery Company, Llay Main Colllieries, Markham Main Colliery and Wagon Finance Corporation.
He lived at Farnley Hall, Leeds.
Armitage was the nephew of Edward Armitage and Thomas Rhodes Armitage, the uncle of Robert Selby Armitage, and second cousin once removed of Edward Leathley Armitage.
The National Portrait Gallery holds two photographs of Armitage.