'BK' (ii) was the designation of an Allied convoy (together with a numerical suffix) plying the route from Bombay to Karachi, India, and as such reciprocals of the 'KB' (ii) series (January 1943).

The series comprised only the BK.1 convoy that departed Bombay on 10 January with the 5,149-ton British Comliebank, 2,798-ton British Hoihow and 2,642-ton British Kweiyang.