In this paper we prove that a $phi$-recurrent (k, $mu$)-contact metric manifold is an $eta$-Einstein manifold with constant coefficients. Next, we prove that a three-dimensional locally $phi$-recurrent (k, $mu$)-contact metric manifold is the space of constant curvature. The existence of $phi$-recurrent (k, $mu$)-manifold is proved by a non-trivial example.