a snow vehicle suspension system including a pair of suspension struts associated one with each of the two steerable skis of the vehicle ; each of the struts including a first generally tubular shaped housing fixably secured to the underside of the vehicle above the associated of the skis , a second generally tubular housing telescopically disposed within the first housing and connected at the lower end thereof to the associated ski , shock absorbing means within the second housing and including a reciprocable piston mounted on one end of a piston rod extending axially outwardly from the upper end of the first housing , the upper end of the piston rod being secured to a portion of the vehicle above the strut and having a helical coil spring extending coaxially thereof between the upper end of the strut and the aforesaid vehicle portion , a steering arm having a first portion operatively connected to the vehicle steering mechanism and a second portion rotatable about the longitudinal axis of the strut , with a second portion of the steering arm being slidably and non - rotatably connected to the second housing whereby the second housing is movable longitudinally thereof relative to the arm and is rotatable in response to actuation of the steering mechanism concomitantly with the arm .