In　the　present　paper,　we　theoretically　study　the　drag　force　on　a　particle　moving　towards　a　wall　in　the　free　molecule　regime.　Based　on　the　gas　kinetic　theory,　the　formula　for　the　force　acting　on　a　near-wall　spherical　particle　is　derived,　which　is　consistent　with　Direct　Simulation　Monte　Carlo　results.　It　is　found　that　the　near-wall　effect　cannot　take　effect　for　the　vanishing　momentum　accommodation　coefficient.　If　the　wall　temperature　is　higher　than　the　gas　temperature,　then　the　drag　force　can　be　enhanced　by　the　near-wall　effect.　For　a　lower　wall　temperature,　the　drag　can　be　suppressed,　and　even　change　its　direction　(in　the　same　direction　with　the　particle　velocity).　©　2024　Science　Press.　All　rights　reserved.