An accurate equilibrium structure has been established for the linear interstellar molecular cation HC3NH+: r(1e)(CH) = 1.0703 Angstrom, R-1e(C(1)C(2))= 1.2097 Angstrom, R-2e(C(2)C(3))= 1.3509 Angstrom, R-3e(C(3)N) = 1.1448 Angstrom and r(2e)(NH)= 1.0079 Angstrom. Ground-state rotational constants for less abundant isotopomers an predicted with an uncertainty of about 0.02 MHz. The equilibrium dipole moment of HC3NH+ is calculated to be 1.61 D.