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Recently, we developed a method for the study of holonomy properties ofnon-Riemannian Finsler manifolds and obtained that the holonomy group can notbe a compact Lie group, if the Finsler manifold of dimension $> 2$ has non-zeroconstant flag curvature. The purpose of this paper is to move further,exploring the holonomy properties of projectively flat Finsler manifolds ofnon-zero constant flag curvature. We prove in particular that projectively flatRanders and Bryant-Shen manifolds of non-zero constant flag curvature haveinfinite dimensional holonomy group.

Projectively flat Finsler manifolds with infinite dimensional holonomy