A new and distinct floricane fruiting variety of red raspberry, named ‘Motueka’, botanically identified as Rubus idaeus L. is described. The new variety is distinguished from others by its high yields of medium sized, high flavored, moderately bright and medium red berries. The plant exhibits a spine-free upright growth habit of medium vigor. The fruit are suitable for consumption as fresh berries and are also amenable to processing. Fruit are detached easily and the variety is well suited for harvest by machine as demonstrated in trials with a Korvan 9000 harvester. In addition, the plant has displayed resistance to Raspberry Bushy Dwarf Virus (RBDV).