The　present　paper　is　devoted　to　studying　the　thermophoresis　of　a　nonspherical　convex　particle　suspended　in　a　gas　with　nonuniform　temperature　distribution　in　the　free-molecule　regime.　Based　on　the　gas　kinetic　theory　and　the　assumption　of　a　rigid-body　collision　for　the　gas-particle　interaction,　analytical　expressions　for　the　thermophoretic　forces　are　obtained　for　several　typical　nonspherical　bodies,　including　cylinders,　spheroids,　needles,　disks,　and　cuboids.　The　orientation　dependences　of　the　thermophoretic　forces　and　thermophoretic　velocities　are　evaluated　based　on　these　expressions.　It　is　found　that　the　influence　of　the　pitching　effect　of　the　nonspheres　can　be　significant.　The　expressions　for　the　orientation-averaged　thermophoretic　forces　are　also　obtained　under　the　assumption　of　a　uniform　particle　orientation　distribution.