We report the results of a theoretical investigation of the electronic structure of the ThF+ cation, which is one of the most interesting systems to search for the electron electric dipole moment (eEDM) [Science 342, 1220[Science 342, (2013] and other effects of violation of time reversal (T) and spatial parity (P) symmetries in fundamental interactions. For the working 3A , state we find a quite high value of the effective electric field acting on unpaired electrons (37.3 GV/cm). The field will be required to interpret the experiment planned on ThF+ in terms of the eEDM. Within the concept of atoms in compounds [A. V. Titov, Y. V. Lomachuk, and L. V. Skripnikov, Phys. Rev. A 90, 052522 (2014)], we compare the ThF+ electronic structure with that of ThO. Also, we calculate other parameters of T,P-odd interactions: WT.P, which is needed for interpretation of the experiment in terms of the dimensionless constant kT P characterizing the strength of the 7\P-odd pseudoscalar-scalar electron-nucleus neutral current interaction (50 kHz); and WM, which is required to search for the 229Th nuclear magnetic quadrupole moment in 229ThF+ (0.88 1033 2 Z). A number of properties which can be measured are also calculated: the hyperfine structure constant, molecule-frame dipole moment, and g factor.