In order to describe approximate equivalence among processes, a notion of λ-bisimilarity has been introduced in the field of process algebra. In this paper, we provide a modal characterization of λ- bisimilarity without the assumption that the metric is an ultra-metric or λ = 0, which is a generalization of one obtained by [M. Ying, Theoret. Comput.Sci., Vol. 275, 1{68].