Large　space　debris　in　the　valuable　orbit　is　an　inevitable　and　serious　problem　which　increases　the　risk　of　fatal　collisions.　The　use　of　space　tether　is　a　promising　method　for　de-orbiting　large　debris　safely　at　low　cost　and　low　energy　consumption.　However,　the　risk　of　winding　is　increasing　because　of　variations　in　sway　motion　due　to　underactuativity,　high　nonlinearity,　and　the　strong　coupling　of　the　tethered　system.　Hence,　in　this　paper,　a　hybrid　tension　control　method　is　proposed　to　stabilise　satellite　system　tethered　to　large　space　debris.　The　dynamic　equations　of　a　tethered　satellite　system　are　formulated　with　an　analysis　of　the　impact　of　the　variation　in　sway　motion　on　tether　winding.　Following　this,　the　optimal　commands　of　sway　motion　are　planned　using　the　Gauss　pseudospectral　method　to　preliminarily　avoid　the　tether　winding　with　the　target.　To　further　reduce　the　risk　of　winding,　a　fuzzy　adaptive　proportion　differentiation　(PD)　controller　is　designed　to　stabilise　the　relative　attitude　of　the　tether　and　the　large　debris.　And　the　control　tension　is　considered　as　a　time-varying　parameter　and　is　added　using　a　hierarchical　sliding-mode　controller　(HSMC),　which　is　used　to　control　the　in-plane　angle　and　the　relative　distance　to　implement　the　hybrid　control　of　the　overall　tethered　satellite　system.　Several　simulations　were　implemented　to　verify　the　effectiveness　of　the　proposed　tension　control　method.