Résumé : Data on the 4π0 decay mode of mesons have been obtained in a search for glueballs performed at the CERN SPS with the GAMS-4000 multiphoton spectrometer. A new tensor glueball candidate X(1810) appears as a clear peak in the 4π0 mass spectrum. The 4π0 decay of G(1590) is also observed. The measured value of BR(G→4π0)/BR(G→ηη)=0.8±0.3 further supports the glueball assignment of this scalar particle. The rate decay of f(1270) into 4π0 has been measured: BR(f→4π0) = (3±1)×10-3. © 1987.