A compressor is provided. The compressor may include a fixed wrap, and an orbiting scroll having an orbiting wrap engaged with the fixed wrap to form compression chambers. The fixed wrap and the orbiting wrap may have irregular wrap curves. At least one interference avoiding portion at which a spacing between the wraps is greater than an orbiting radius or at least one gap compensating portion at which the spacing between the wraps is smaller than the orbiting radius, in a state in which a center of the fixed scroll and a center of the orbiting scroll are aligned with each other, may be provided on a sidewall surface of the fixed wrap or the orbiting wrap, whereby frictional loss or abrasion due to interference between the wraps or a refrigerant leakage due to a gap between the wraps may be prevented.