Nonsequential double ionization (NSDI) of noble gas atoms in counter-rotating two-color circularly polarized (CRTC) laser fields is investigated. A scaling law is concluded by qualitatively and quantitatively comparing the momentum distributions of two electrons from NSDI in CRTC laser fields for different atoms with different parameters. The scaling law indicates that the momentum distributions from an atom driven by CRTC laser frequency ${\omega }_1$, ${\omega }_2$, and laser intensity $I$ are the same as that from another atom irradiated by CRTC laser frequency $k{\omega }_1$, $k{\omega }_2$, and laser intensity $k^{3}I$. This study can provide an avenue in the research of two-color laser field ionization.