We obtain limits on the quartic neutral gauge bosons couplings Zγγγ and ZZγγ using LEP 2 data published by the L3 Collaboration on the reactions e + e − → γγγ, Zγγ. We also obtain 95 % C. L. limits on these couplings at the future linear colliders energies. The LEP 2 data induce limits of order 10 −5 GeV −4 for the Zγγγ couplings and of order 10 −3 GeV −2 for the ZZγγ couplings, which are still above the respective Standard Model predictions. Future e + e − linear colliders may improve these limits by one or two orders of magnitude.