There is described a modular element (1a, 1b; 1a', 1b'; 1a'', 1b''; 1a''', 1b'''; 1a'''', 1b'''') for a container processing machine (2), comprising one support element (20a, 20b; 20a', 20b'; 20a''', 20b'''); releasable connecting means (30a, 30a') for connecting support element (20a, 20b; 20a', 20b'; 20a''', 20b''') to either a fixed structure (5) or to a further modular element (1b, 1a; 1b', 1a'; 1b'', 1a"; 1b''', 1a'''; 1b'''', 1a''''); and one first worm-screw (11a, 11b; 11a', 11b'; 11a''', 11b'''; 11a'''', 11b'''') rotatable about a first axis (A, E; A', E'; A'''', E'''') with respect to said first support element (20a, 20b; 20a', 20b'; 20a''', 20b'''); worm-screw (11a, 11b; 11a', 11b'; 11a''', 11b'''; 11a'''', 11b'''') is fixed to first support element (20a, 20b; 20a', 20b'; 20a''', 20b''') with respect to a second axis (B, F) and to a third axis (C, G); support element (20a, 20b; 20a', 20b'; 20a''', 20b''') supports first axis (A, E; A', E'; A'''', E'''') of worm-screw (11a, 11b; 11a', 11b'; 11a''', 11b'"; 11a'''', 11b'''') at a first distance (L
1 , M
1 , N
1 ', O
1 ') from a fourth axis (D parallel to said second axis (B, F) and at a second distance (L
2 , M
2 , N
2 ', O
2 ') from said fourth axis (D) parallel to said third axis (C, G); one between said first and second distances (L
1 , M
1 ; L
2 , M
2 ; N
1 ', O
1 '; N
2 ', O
2 ') is associated to the format of said containers (3) to be conveyed.