V- Ti alloys are promising alternatives to Nb for the construction of superconducting solenoids that produce high magnetic fields. The critical current density ($$J_C$$
J
C
), which quantifies the capacity of a superconductor to carry large dissipationless current, increases in the V-Ti alloys with the addition of Ce. Here, the effects of successive cold working and annealing on the electrical resistivity, $$J_C$$
J
C
, and microstructure of the V$$_{0.59}$$
0.59
Ti$$_{0.40}$$
0.40
Ce$$_{0.01}$$
0.01
alloy are studied. The $$J_C$$
J
C
is the maximum after the second cold rolling. Annealing at 650 $$^{\circ }$$
∘
C is found to nucleate and grow the $$\alpha $$
α
-phase which is detrimental to $$J_C$$
J
C
, whereas the precipitation of the $$\alpha '$$
α
′
-phase is found to improve the $$J_C$$
J
C
.