Currently, the TGV collaboration is investigating the two-neutrino double electron capture (2vEC/EC) of 106Cd at the Modane underground laboratory. The study is performed with low-background multi-HPGe detector TGV II, which has been constructed for measurements of the rare processes. The half-life limits of T1/2>2.6×1020 years (for Phase I, 8687 hours) and T1/2>3.6×1020 years (for Phase II, 9003 hours) were obtained for the ground state to ground state 2vEC/EC of 106Cd. The results already allow to rule out some of the previous nuclear structure calculations.