  Anomaly mediation mechanism of supersymmetry breaking is known to have an
unsatisfactory aspect which is often referred to as the tachyonic slepton
problem. A possible way out of this difficulty is investigated by considering
the mediation mechanism not only of the super-Weyl but of K{\" a}hler part of
anomaly. A new formula for the scalar mass squared is presented by including
the effect of the K{\" a}hler anomaly. On the basis of the new formulae, the
gauge non-singlet scalar mass squared is shown to be positive provided that the
superpotential in the hidden sector satisfies a certain condition. The gauge
singlet scalar mass squared may also be positive if we consider the threshold
correction.
