The invention discloses an air suction muffler and a compressor provided with the same. The air suction muffler comprises a casing and an oil baffle element, wherein the casing is provided with an air suction port and an air exhaust port, and an airflow channel communicated with the air suction port and the air exhaust port is formed in the casing; the oil baffle element is arranged on the casing, bulges out of the outer wall surface of the casing and extends outwards, and at least part of the oil baffle element is located right above the air suction port. According to the air suction muffler disclosed by the embodiment, refrigerator oil is not easily carried into the air suction muffler by a refrigerant from the air suction port, so that the quantity of the refrigerator oil flowing into a compression chamber along with the refrigerant is reduced greatly, the oil puff quantity of the compressor is reduced, and the safe reliability is improved.