A film-forming lubrication composition for make-up of threaded connections, intended to cover at least one threading (FE, FI) and a make-up abutment (BVM, BVF) of a threaded element (EM, EF) of a component (T2, T1) of a threaded tubular connection (JF) with a solid state film which adheres to the threading (FE, FI) and to said make-up abutment (BVM, BVF), said make-up abutment (BVM, BVF) being intended to bear against another abutment (BVF, BVM) of another component (T1, T2) of said threaded tubular connection (JF) during the terminal make-up phase, and said lubrication composition comprising a matrix. The matrix further comprises at least one rheoresistant material selected so as to endow said composition, as a complement to lubrication, with a shouldering torque which is at least equal to a threshold value.