  We calculate the next-to-leading order (NLO) quantum chromodynamics (QCD)
correction to the exclusive process $\gamma+\gamma\to J/\psi+J/\psi$ in the
framework of non-relativistic QCD (NRQCD) factorization formalism. The cross
sections at the SuperKEKB electron-positron collider, as well as at the future
colliders, like the Circular Electron Positron Collider (CEPC) and the
International Linear Collider (ILC), are evaluated. Numerical result indicates
that the process will be hopefully to be seen by the Belle II detector within
the next decade.
