  In the present paper, we introduce and investigate various types of harmonic
Finsler manifolds and find out the interrelation between them. We give some
characterizations of such spaces in terms of the mean curvature of geodesic
spheres and the Laplacian of the distance function induced by the Finsler
structure. We investigate some properties of the Finsler mean curvature of
geodesic spheres of different radii. In addition, we prove that certain
harmonic Finsler manifolds are of Einstein type and provide a technique to
construct harmonic Finsler manifolds of Randers type. Moreover, we give some
examples of non-Riemmanian Finsler harmonic manifolds of constant flag
curvature and constant $S$-curvature.
