In This Paper, We Have Constructed a Non-Static Cylindrically Symmetric Cosmological Model Which Is Specially Homogeneous Non-Degenerate Petrov Type-I. the Energy Momentum Tensor Has Been Assumed to Be That of a Perfect Fluid With an Electromagnetic Field and the 4-Current Is Either Zero Or Space-Tike. Various Physical and Geometrical Properties Like Pressure, Density, Scalar of Expansion And Shear Etc Have Been Found and Discussed