Measurements of the t-t and p-t coincidence events in the 3 H (α, ttp) reaction have been obtained at E α incident energy of 67.2 MeV. Various appropriate angular configurations of detectors were chosen in order to observe the population of the 6 He * state at around 18 MeV. Its contribution appears at the E tt relative energy of 6.0 MeV by the analysis of bidimensional spectra. We found the formation of the 6 He excited state at E * = 18.3 ± 0.2 MeV (with a Γ width of 1.1 ± 0.3 MeV) by the decay into the t+t binary channel, since the threshold energy of the t+t channel is 12.31MeV. In each analyzed bidimensional energy spectrum of (E t , E t ) and (E p , E t ) coincidence events resonance structures are present due to the formation of both 6 He * and 4 He * excited states. Our results on the E * and Γ values regarding the 6 He * level of about 18 MeV are compared with the results obtained by other reactions. Moreover, we also found new Γ width values of 0.7 ± 0.3 and 0.8 ± 0.4 MeV for the 14.0 ± 0.4 and 16.1 ± 0.4 MeV 6 He levels, respectively.