Using a sample of 31.3x10(6) BB pairs collected with the Belle detector at the Upsilon(4S) resonance, we make the first observation of the charged B meson decay to chi(c0) and a charged kaon. The measured branching fraction is B(B+-->chi(c0)K+) = (6.0(+2.1)(-1.8)+/-1.1)x10(-4), where the first error is statistical, and the second is systematic.