Timothy John Radcliffe Barnes, 4th Baron Gorell (2 August 1927 – 25 September 2007), was a British businessman and hereditary peer.
He succeeded in the barony upon the death of his father, Ronald Barnes, 3rd Baron Gorell, in 1963.
He married Joan Marion Collins in 1954 and had two adopted daughters. Since there was no male issue from this marriage, Lord Gorell was succeeded by his nephew, John Barnes, only son of his younger brother, the Hon. Ronald Alexander Henry Barnes (1931–2003).