Abstract: The observational data provided by Planck satellite indicates some deviations from the statistical isotropy, which is one of the fundamental assumptions of the standard model of cosmology. These statistical anisotropies may be achieved by introducing some vector fields during inflation. In this talk, first I consider an inflationary model with U(1) gauge fields and charged scalar field. I show that there exists attractor solution where the anisotropies produced during inflation become comparable to the slow-roll parameters. Then, using the in-in formalism, I obtain the correction to the primordial power spectrum due to this anisotropic sources. Finally, I present another method ,delta N formalism, for calculating the curvature perturbations in anisotropic background which is an extension of usual approach for FRW background.