This scroll compressor includes first and second fixed scroll members, first and second orbiting scroll members, a first Oldham coupling provided between the first orbiting scroll member and the first fixed scroll member and configured to prevent rotation of the first orbiting scroll member with respect to the first fixed scroll member, and a second Oldham coupling provided between the second orbiting scroll member and the second fixed scroll member and configured to prevent rotation of the second orbiting scroll member with respect to the second fixed scroll member. The first Oldham coupling is slidably mounted with respect to the first fixed scroll member along a first displacement direction, and the second Oldham coupling is slidably mounted with respect to the second fixed scroll member along a second displacement direction parallel with respect to first displacement direction. First and second orbiting scroll members are configured to operate in phase opposition.