Method for wrapping a load with a film by means of a wrapping machine provided with an unwinding apparatus comprising a reel of film , a couple of pre-stretching rollers for unwinding and stretching said film , at least one return roller arranged to divert said film toward said load and at least one force sensor associated with said return roller and arranged to measure a wrapping force of said film that is engaged with said return roller and wrapping around said load , said method comprising the following steps: - rotating said unwinding apparatus and said load relative to one another around a wrapping axis (W) with a rotation speed (Ω) and unwinding said film from said reel by rotating said pre-stretching rollers in order to wrap said load with a series of bands of film (step 1); - measuring an effective wrapping force ( F m ) of said film by means of said force sensor (step 2); - filtering said effective wrapping force ( F m ) by means of a first filter with a first passband ( ΔF ) that is a function of a set wrapping force ( F d ) and an established maximum reading error (err) of said force sensor , so as to obtain a filtered wrapping force ( F mf ) (step 3); - calculating by means of a PID control algorithm an instant film length ( L i ) to be supplied per rotation of said unwinding apparatus or said load on the basis of said filtered wrapping force ( F mf ) (step 4); - filtering said instant film length ( L i ) by means of a second filter with a second passband ( ΔL ) comprising a range of admissible values of said instant film length to be supplied (step 5); - calculating an instant rotation speed ( ω 1 , ω 2 ) of at least one pre-stretching roller of said couple of pre-stretching rollers on the basis of said instant filtered film length ( L if ) and at least of said rotation speed (Ω) (step 6); - rotating said at least one pre-stretching roller of said couple of pre-stretching rollers about one respective longitudinal axis with said instant rotation speed ( ω j , ω 2 ) (step 7). - rotating said unwinding apparatus and said load relative to one another around a wrapping axis (W) with a rotation speed (Ω) and unwinding said film from said reel by rotating said pre-stretching rollers in order to wrap said load with a series of bands of film (step 1); - measuring an effective wrapping force ( F m ) of said film by means of said force sensor (step 2); - filtering said effective wrapping force ( F m ) by means of a first filter with a first passband ( ΔF ) that is a function of a set wrapping force ( F d ) and an established maximum reading error (err) of said force sensor , so as to obtain a filtered wrapping force ( F mf ) (step 3); - calculating by means of a PID control algorithm an instant film length ( L i ) to be supplied per rotation of said unwinding apparatus or said load on the basis of said filtered wrapping force ( F mf ) (step 4); - filtering said instant film length ( L i ) by means of a second filter with a second passband ( ΔL ) comprising a range of admissible values of said instant film length to be supplied (step 5); - calculating an instant rotation speed ( ω 1 , ω 2 ) of at least one pre-stretching roller of said couple of pre-stretching rollers on the basis of said instant filtered film length ( L if ) and at least of said rotation speed (Ω) (step 6); - rotating said at least one pre-stretching roller of said couple of pre-stretching rollers about one respective longitudinal axis with said instant rotation speed ( ω j , ω 2 ) (step 7). <EOS>