A tablet press machine (1) comprises a covering structure (100) enclosing in a delimited space a rotary turret (T) for the production of tablets (C); hopper means (2) for containing pharmaceutical material (M) in powder or granular form to be pressed; rotary disc means (3, 5, 6) equipped with matrices (4) designed to contain defined quantities or doses of the pharmaceutical material (M) fed to them by the hopper means (2); reciprocating punch means (7; 7a, 7b) for compressing the doses inside the matrices (4); at least a first and a second station (Z1, Z2) for completing the tablets (C) formed in respective first and second forming lines (A1, A2); the first and second completing stations (Z1, Z2) are positioned at a defined angular interval from each other on the turret (T); the machine (1) further comprises a single outfeed station (Z3) outside the structure (100) where the tablets (C) are made by the first and second forming lines (A1, A2); and conveyor means (8) coupled with the turret (T) and defining a channel for feeding the tablets (C) formed in the first line (A1) and completed in the first completing station (Z1) to the outfeed station (Z3) along a path (P) running parallel to and alongside the second line (A2).