TOI-1749 is a cool M-dwarf (about 0.58 solar masses, 3,985 K, 0.55 solar radii), 99.6 light-years from Earth. TOI-1749 b is a 0.18-Jupiter-mass companion, with an orbital period of 2.4 days, at 0.029 AU from its star, and an equilibrium temperature near 831 K, on an eccentric orbit (e ≈ 0.14), discovered in 2021 via transit. TOI-1749 c is a 14.0-Earth-mass planet, with an orbital period of 4.5 days, at 0.044 AU from its star, and an equilibrium temperature near 673 K, discovered in 2021 via transit.