Previously unknown states in 18 Na and 19 Mg have been studied by measuring the trajectories of their decay products with microstrip detectors. Analyzing angular correlations of the fragments provided information on decay energies and widths of the parent states. The ground state of 18 Na has been detected and its one-proton decay energy of 1.23(15) MeV determined. Four previously unknown states in 19 Mg at 2.1, 2.9, 3.6, and 5.2 MeV have been observed. The competition between simultaneous and sequential two-proton emission of states in 19 Mg is discussed, and the conclusion of a direct mechanism of 2p radioactivity of the 19 Mg ground state is confirmed.