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A right R-module MR is called a PS-module if its socle, SocMR, is projective. We investigate PS-modules over Ore extension and skew generalized power series extension. Let R be an associative ring with identity, MR a unitary right R-module, O=Rx;α,δ Ore extension, MxO a right O-module, S,≤ a strictly ordered additive monoid, ω:S→EndR a monoid homomorphism, A=RS,≤,ω the skew generalized power series ring, and BA=MS,≤RS,≤, ω  the skew generalized power series module. Then, under some certain conditions, we prove the following: (1) If MR is a right PS-module, then MxO is a right PS-module. (2) If MR is a right PS-module, then BA is a right PS-module

PS-Modules over Ore Extensions and Skew Generalized Power Series Rings