Refers to customs, values, or practices passed down within a family. Often used in contexts of upbringing or household character.
See also: 家風
His family tradition is that relatives gather every New Year.
As a family tradition, I learned tea ceremony from childhood.
Compound of 家 (ie, 'house, family') + の (no, possessive particle) + 風 (kaze, 'wind, style, manner'). Literally 'the wind of the house', metaphorically extended to mean 'family tradition' or 'family style'.