  In this paper, first, we introduce the Berger-type deformed Sasaki metric on
the cotangent bundle $T^{\ast}M$ over a K\"{a}hlerian manifold $(M^{2m}, J, g)$
and investigate the Levi-Civita connection of this metric. Secondly, we present
the unit cotangent bundle equipped with Berger-type deformed Sasaki metric, and
we investigate the Levi-Civita connection. Finally, we study the geodesics on
the cotangent bundle and on unit cotangent bundle with respect to the
Berger-type deformed Sasaki metric.
