A MEMS pressure sensor packaged with a molding compound. The MEMS pressure sensor features a lead frame, a MEMS semiconductor die, a second semiconductor die, multiple pluralities of bonding wires, and a molding compound. The MEMS semiconductor die has an internal chamber, a sensing component, and apertures. The MEMS semiconductor die and the apertures are exposed to an ambient atmosphere. A method is desired to form a MEMS pressure sensor package that reduces defects caused by mold flashing and die cracking. Fabrication of the MEMS pressure sensor package comprises placing a lead frame on a lead frame tape; placing a MEMS semiconductor die adjacent to the lead frame and on the lead frame tape with the apertures facing the tape and being sealed thereby; attaching a second semiconductor die to the MEMS semiconductor die; attaching pluralities of bonding wires to form electrical connections between the MEMS semiconductor die, the second semiconductor die, and the lead frame; and forming a molding compound.