We investigate F-traceless component of the conformal curvature tensor defined by (3.6) in $Kddot{a}hler$ manifolds of dimension ${geq}4$, and show that the F-traceless component is invariant under concircular change. In particular, we determine $Kddot{a}hler$ manifolds with parallel F-traceless component and improve some theorems, provided in the previous paper([2]), which are concerned with the traceless component of the conformal curvature tensor and the spectrum of the Laplacian acting on $p(0{leq}p{leq}2)$-forms on the manifold by using the F-traceless component.