His father, artist Ödön Fülöp Beck, trained him from a young age, and he later became a pupil of Zsigmond Kisfaludi Strobl at the Hungarian Art School for three years, where his talent began to flourish.
He left on a study trip to Berlin and then London, where his early works were exhibited.
From the 1930s he became well known for his expressionist sculpture, creating plaquettes of Árpád Tóth, Bartók, Móricz, and Thomas Mann.
In 1947 Beck was appointed the president of the Trade Union of Hungarian Artists, subsequently leaving for Paris, where in 1948 he became teacher of the Art School.
By the late 1970s he was employed at the Mint in Paris, where a number of his works were exhibited but retired from active sculpture creation in 1980.