In infinitely lived, representative-agent models with linear income taxes, the influential studies by Chamley (1986) and Judd (1985) have shown that the optimal capital tax is zero in the long run. Our paper uses a similar model with progressive taxes and the results are as follow. First, the long-run optimal capital income tax is positive with progressive income taxes. Second, the welfare gain from moving current tax rates toward positive optimal income taxes with progressive tax rates is larger than moving toward a zero capital income tax with linear income taxes. Our findings lend support to positive capital income taxes under a system of progressive income taxes adopted in developed countries since the late 19^(th) century.