Résumé : The π0π0 system produced in charge-exchange π-p interactions at a primary momentum of 100 GeV/c has been studied. The data employed come from the experiment that was performed at the CERN SPS accelerator and which recorded photons from π0 decays with the aid of the hodoscopic multiphoton GAMS-4000 spectrometer. A partial-wave analysis of the π0π0 system in the mass interval between 0.8 and 3 GeV has been performed with allowance for the S, D, G, and J waves. The S wave has a rather complicated structure, displaying a series of four bumps separated by three dips at about 1, 1.5, and 2 GeV. This suggests the existence of several scalar resonances. The higher waves show clear peaks corresponding to the f2(1270), f4(2050), and f6(2510) mesons, which are produced predominantly via one-pion exchange. The parameters of these mesons and their production cross sections have been determined.