In this paper we introduce difference entire sequence spaces and difference analytic sequence spaces defined by a sequence of modulus function F = (ƒk) 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 ΓF(∆sm , u, p, q, ||., ···, .||) and Λf(∆sm, u, p, q, ||., ·· ·, .||).