Predissociation of the short-lived 3 2A′(2sa′1) state of D3 and H3 is studied by three-dimensional wave packet dynamics on the pair of coupled ground state potential energy surfaces. Momentum correlation diagrams for the three-body fragmentation via non-adiabatic transition to the unstable electronic ground state are calculated for the lowest eight vibrational levels (and J = 0). Compared to previous semiclassical methods, the agreement with experimental results is improved.