The present application relates to new and distinct cultivar of primocane-fruiting raspberry named ‘PBBrasp1351’. The new variety reliably provides balanced heavy crop load on both primocanes and floricanes, with large, glossy, conic fruits of unique peach-yellow color, with loose adherence to the receptacle and which maintain size throughout harvest. Plants possess high vigor and produce high numbers of spawn. Improved resistance to yellow rust (Phragmidium rubi-idaei) and field tolerance to Raspberry Bushy Dwarf Virus (RBDV) and Phytophthora root rot has been observed.
