Radford was born in Chester, England on 25 June 1897.

He was a commissioned officer in the British South Staffordshire Regiment in the First World War, in 1918 transferring into the Royal Air Force, ending the war as a subaltern when he was demobilised in 1920. Radford had a crescent-shaped scar on his right cheek from a wound sustained during his time in the trenches. Depending on the lighting and camera angle it varied from barely perceptible to prominent.

In 1926 he married Shirley Deuchars. They had one son.

Radford’s health began seriously to fail in the summer of 1951, forcing him to take a long break from acting. He died at St George’s Hospital, Westminster, London, on 20 October 1952, from liver failure due to cirrhosis of the liver.