willow family wil·low·fa·mily uncommon noun 1. two genera of trees or shrubs having hairy catkins: Salix; Populus SynonymsSalicaceaefamily Salicaceaewillow family Related words Broader terms hamamelid dicot family Parts Salicales Part of SalixPopulus WordNet 2.1 (Princeton University). WordNet 2.1 Copyright Princeton University. All rights reserved.