Abstract: Let be a Finsler space endowed with the
Cartan connection. Anastasiei [2] showed that a structure on the indicatrix
bundle IM in is Sasakian iff a Finsler space is of constant curvature 1. For a
Finsler space with the Chern-Rund connection, we
shall get an analogy about the result of Anastasiei.
Keywords and phrases: Finsler manifold (space), indicatrix bundle, Chern-Rund connection, framed f-structure, Sasaki type metric.