1505The consequences of the integer-charge quark model in electron-positron annihilation into three jets are studied. To first order in as, three-gluon jets also contribute, in addition to quarkantiquark-gluon jets. If the gluon-mass is smaller than about 2 GeV, these three-gluon jets can dominate at PETRA energies (~30 Ge V). The angular distribution is presented as a test to signal this three-gluon jet. If however, the coloured-Higgs intermediate states are taken into account, the three-gluon jet is no longer dominant and can easily escape detection. The model of broken colour symmetry, in which all these phenomena occur, is worked out explicitly. § 1. Introduction A number of recent experiments at PETRA have established evidence for three-jet events in electron-positron annihilation. I) These can be explained in terms of the production of a quark-antiquark pair (qq) accompanied by gluon (g) emission, on the basis of quantum chromo dynamics (QCD), the theory of strong interactions of fractionally charged quarks and neutral massless gluons based on an exact colour SU(3) gauge symmetry. Though the results are in agreement with QCD, there still does not exist a complete analysis which establishes that the underlying theory is indeed QCD and rules out other alternatives. We wish to discuss here the possibility that a model of strong interactions based on a broken colour SU(3) gauge symmetry incorporating the integer-charged quarks of Han and N ambu 2 ) and charged massive gluons, could give rise to the observed threejet events. We shall refer to this model with integer-charge quarks as the ICQ model, while the conventional QCD with fractional charge quarks will be called the FCQ model.It had been generally supposed that only the fractionally charged quarks of Gell-Mann and Zweig are in agreement with experimental data on deep inelastic lepton-hadron scattering as well as on hadron-production in e+ e~ annihilation, which probe the constituents of the nucleon. For instance, the very good agree-*) On leave