Suction muffler assembly for hermetic compressors of the type including a cylinder block (4) mounted in the upper part of a hermetic case (3) and provided with a cylinder (10) lodging a reciprocating piston (15); a valve plate (11) attached to an open end of the cylinder (10) and having a suction orifice (11a); a suction muffler assembly attached to the cylinder block (4) and including a hollow muffler body (100) provided with a gas inlet opening (101, 130a) and a gas outlet opening (121); and a suction duct (140) having one inlet end (141) connected to the gas outlet opening (121) and an opposite outlet end (142) in communication with the suction orifice (11a) of the valve plate (11), said hollow muffler body (100) being formed of a lower part (110), presenting an end peripheral edge (117), and a cover upper part (120) carrying the gas outlet opening (121) of the muffler body (100) and including a peripheral lower seating surface portion (127) to be seated onto the end peripheral edge (117) of the lower part (110) and an outer peripheral skirt (128) extending downwardly from and surrounding said lower surface portion (127), said gas inlet opening (101, 130a) being defined, at least partially, at the lower part (110) of the muffler body (100), said muffler assembly being further provided with attaching means (150) to hold and press the cover upper part (120) onto the end peripheral edge (117) of the lower part (110) of the muffler body.