Superconducting V3Ga tapes were produced by fabricating a composite of Cu&sngbnd;Ga alloy and a vanadium core and subsequent heat treatment at 625–‐800°C. The critical current of these composite‐processed (CP) V3Ga tapes was measured at 4.2 K in magnetic fields up to 210 kOe. In CP‐V3Ga tapes, the pronounced ``peak effect'' appears at fields near 170 kOe where a critical‐current densityJcof 1×105A/cm2is obtained. At the ``peak field'',Jcis nearly independent of the thicknessdof the V3Ga layer. On the other hand, at low fieldsJcdecreases markedly with increasing thickness. When the Cu&sngbnd;Ga alloy matrix is supplemented by a small amount of manganese, the peak effect disappears consequently improvingJcat lower fields.