In this note, we introduce and study a new kind of generalized Cesàro operator, $$\cal{C}_{\mu}$$ , induced by positive Borel measure μ on [0, 1) between Dirichlet-type spaces. We characterize the measures for which is bounded (compact) from one space, $$\cal{D}_{\alpha}$$ into another one, $$\cal{D}_{\beta}$$ .
