  We present the recent measurements of the $e^+e^-\to K^+K^- J/\psi$ process
carried out by the BESIII experiment. A new decay mode $Y(4230)\to K^+K^-
J/\psi$ is firstly identified by BESIII. Furthermore, two vector charmoniumlike
states, $Y(4500)$ and $Y(4710)$, are reported for the first time in the
energy-dependent line shape of $e^+e^-\to K^+K^- J/\psi$ cross section. In
additon, an investigation of the $K^\pm J/\psi$ system is conducted to explore
charged charmoniumlike states.
