A scroll compressor with a stationary scroll, an orbiting scroll, and a discharge port through which a fluid that has been compressed by both the scrolls is discharged. An end plate of the orbiting scroll is provided with an end-plate side stepped portion formed such that, along a spiral of a spiral wrap, the height thereof increases toward a central side of the spiral and decreases toward an outer end side thereof. A spiral wrap of the stationary scroll is provided with a wall-portion side stepped portion formed corresponding to the end-plate side stepped portion such that the height thereof decreases toward the central side of the spiral and increases toward the outer end side thereof. A pair of compression chambers which face each other, the ventral side compression chamber communicates with the discharge port before the dorsal side compression chamber communicates with the discharge port.