We investigate the prospects for discovering axion-like particles (ALPs) via a light-by-light (LBL) scattering at two colliders, the future circular collider (FCC-ee) and circular electron-positron collider (CEPC). The protexttt{mi}sing sensitivities to the effective ALP-photon coupling $g_{agammagamma}$ are obtained. Our numerical results show that the FCC-ee and CEPC might be more sensitive to the ALPs with mass 2 GeV $sim$ 10 GeV than the LHC and CLIC.