The process e+e-→K+K-J/ψ is observed for the first time via initial-state radiation. The cross section of e+e-→K+K-J/ψ for center-of-mass energies between threshold and 6.0 GeV is measured using 673fb-1 of data collected with the Belle detector on and off the Υ(4S) resonance. No significant signal for Y(4260)→K+K-J/ψ is observed, and we determine B(Y(4260)→K+K-J/ψ)Γ(Y(4260)→e+e-)<1.2eV/c2 at a 90% confidence level. We also find evidence for e+e-→KS0KS0J/ψ in the same data sample. © 2008 The American Physical Society.