Born in the Soviet Union, Eloul arrived in Palestine as a child. He graduated from the Bezalel Academy of the Arts in Jerusalem, and became a co-founder of New Horizons, an artists' movement in Israel that broke with post-Impressionism.

Eloul was awarded the Israel Prize, the country's highest civilian distinction, for his art.

He moved to Toronto in 1964. reportedly attracted by the quiet and openness of Canada.