In this paper we introduce difference entire sequence spaces and difference analytic sequence spaces defined by a sequence of modulus function F = (/¾) and study some topological properties and some inclusion relations between these spaces. We also make an effort to study some properties and inclusion relation between the spaces Tf(ΑΓ , u, p, q, ||., ···, .||) andAf(A^ , u, p, q, ||., ·· ·, .\\).