In this paper radially symmetric solutions of a semilinear heat equation $u_t=\Delta u+u^p$ on the hyperbolic space are considered. First universal bounds of the nonnegative solution are obtained to know the blow-up rate at the final blow-up time under the exponent p which is subcritical in the Sobolev sense. Next we derive its local blow-up profile and also analyze blow-up set of solutions.