HMAS Mollymawk (DT 933) was a tugboat of the Royal Australian Navy (RAN) between 1946 and 1957.

She was built in 1946 by Poole & Steel, Sydney and launched on 3 May 1946 as a tug for the RAN.

She was commissioned as DT 933 and served in Papua New Guinea waters between August 1946 to May 1949 when she was placed in reserve at HMAS Tarangau.

On 6 October 1959 two men, Sappers Hugh Brooks and Ronald Leslie Hill, of Mollymawk were awarded the British Empire Medal for their "outstanding courage and seamanship".

[2] She served with the 32nd Small Ship Squadron, Royal Australian Engineers until 1963, when she was sold to Newsprint Mills Ltd in Hobart, Tasmania and was renamed Kallista.