  We present a measurement of the branching fraction of the decay B+- -->
chi_c0 K+- from a sample of 89 million BB pairs collected by the BaBar detector
at the PEP-II asymmetric-energy B Factory at SLAC. The chi_c0 meson is
reconstructed through its two-body decays to pi+ pi- and K+ K-. We measure
BR(B+- --> chi_c0 K+-)* BR(chi_c0 --> pi+ pi-) = (1.32^{+0.28}_{-0.27}(stat) +-
0.09(syst))*10^-6 and BR(B+- --> chi_c0 K+-) * BR(chi_c0 --> K+ K-) =
(1.49^{+0.36}_{-0.34}(stat) +- 0.11(syst))* 10^-6. Using the known values for
the chi_c0 decays branching fractions, we combine these results to obtain
BR(B+- --> chi_c0 K+-) = (2.7+-0.7)* 10^-4.
