The present disclosure provides a compressor including a rounded portion surrounding a discharge port, including a cylinder without an oil-blocking structure for ease of shaping the rounded portion, and including a valve-recess cover coupled to the cylinder. At least one valve-recess is defined in an outer face portion of the cylinder. A discharge valve assembly is fixedly received in the valve-recess, wherein the discharge valve assembly is configured for opening and closing the discharge port. The valve-recess is defined between the outer face, primary and secondary side blocks. The rounded portion surrounds the discharge port, to reduce a contact area between the discharge port and the valve assembly.