Abstract: A new and distinct cultivar of Rubus plant named ‘BT RASFIVE’ is disclosed, characterized by a very early primocane fruit period. Plants produce high to very high cane branching with a bushy semi-erect architecture and have a low chill requirement. Fruits are very firm and easy to store with a stable firmness after harvest. The new variety is a Rubus, normally produced as an outdoor garden or container plant.