HMS TB 13 was a Cricket-class coastal destroyer or torpedo-boat of the British Royal Navy.

The Cricket-class was intended as a smaller and cheaper supplement to the large, fast, but expensive Tribal-class destroyer, particularly in coastal waters such as the English Channel.

The 1906–1907 orders were distributed with four ships being built by J. Samuel White, two by Denny, two by Thornycroft, two by Hawthorn Leslie and one each by Palmers and Yarrow.

[4] Armament consisted of two 12-pounder (76-mm) 12 cwt guns[b], and three 18-inch (450 mm) torpedo tubes (in three single mounts).

[12] In November 1914, TB 13 was listed as part of the Eighth Patrol Flotilla, based on the Tyne.