Bromley \b-rom-ley, br(o)-mley\ as a boy's name is of Old English origin, and the meaning of Bromley is "meadow where broom grows". Place name. Broom is a shrub related to heather. Bromley has 4 variant forms: Bromlea, Bromlee, Bromleigh and Broomlie. Baby names that sound like Bromley are Bramwel, Bromwell and Bromwyl.