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We describe an algorithm computing the monodromy and the pole orderfiltration on the Milnor fiber cohomology of any reduced projective plane curve$C$. The relation to the zero set of Bernstein-Sato polynomial of the defininghomogeneous polynomial for $C$ is also discussed. When $C$ has some nonweighted homogeneous singularities, then we have to assume that a conjectureholds in order to get some of our results. In all the examples computed so farthis conjecture holds.

Computing the monodromy and pole order filtration on Milnor fiber cohomology of plane curves