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[en] We present a new measurement of the unitarity triangle angle φ3 using a Dalitz plot analysis of the KS0π+π- decay of the neutral D meson produced in B±→D(*)K± decays. The method exploits the interference between D0 and D0 to extract the angle φ3, strong phase δ, and the ratio r of suppressed and allowed amplitudes. We apply this method to a 605 fb-1 data sample collected by the Belle experiment. The analysis uses three decays: B±→DK±, and B±→D*K± with D*→Dπ0 and D*→Dγ, as well as the corresponding charge-conjugate modes. From a combined maximum likelihood fit to the three modes, we obtain φ3=78.4 deg. (+10.8 deg./-11.6 deg.)±3.6 deg. (syst)±8.9 deg. (model). CP conservation in this process is ruled out at the confidence level (1-CL)=5x10-4, or 3.5 standard deviations.