Résumé : A search for the rare and forbidden neutral decays of η-meson with the GAMS-4π setup has been performed. The charge-exchange reaction at 32.5 GeV/c was used as a source of 3.7 ṡ 106 η-mesons. At the 90% confidence level the following upper limits were obtained: B R (η → 3 γ) < 1.6 ṡ 10-4, B R (η → 4 γ) < 2.8 ṡ 10-4, B R (η → π ° π °) < 3.5 ṡ 10-4, B R (η → π ° π ° γ) < 1.7 ṡ 10-3, B R (η → π ° π ° γ γ) < 4.0 ṡ 10-3, B R (η → 3 π ° γ) < 2.4 ṡ 10-4, B R (η → 4 π °) < 2.0 ṡ 10-5. © 2006 Elsevier B.V. All rights reserved.