A chives cultivar, designated Biggy, is disclosed. The invention relates to the seeds of chives cultivar Biggy, to the plants of chives cultivar Biggy and to methods for producing a chives plant by crossing the cultivar Biggy with itself or another chives cultivar. The invention further relates to methods for producing a chives plant containing in its genetic material one or more transgenes and to the transgenic chives plants and plant parts produced by those methods. This invention also relates to chives cultivars or breeding cultivars and plant parts derived from chives cultivar Biggy, to methods for producing other chives cultivars, lines or plant parts derived from chives cultivar Biggy and to the chives plants, varieties, and their parts derived from the use of those methods. The invention further relates to hybrid chives seeds, plants, and plant parts produced by crossing cultivar Biggy with another chives cultivar.