In the paper, we apply the k_T factorization approach to deal with the B→ K transition form factor with tensor current in the large recoil regions. Main uncertainties for the estimation are discussed and we obtain F_T^B→ K(0)=0.25±0.01±0.02, where the first error is caused by the uncertainties from the pionic wave functions and the second is from that of the B-meson wave functions. This result is consistent with the light-cone sum rule results obtained in the literature.