We derive the explicit analytical form for the charge-dipole and dipole-dipole interactions in two-dimensional (2D) configuration space. We demonstrate that the reduction of dimensionality can alter the charge-dipole and dipole-dipole interactions in the 2D case. The asymptotics of these interactions at long distances coincide to the charge-dipole and dipole-dipole interactions in three-dimensional configuration space. The obtained charge-dipole and dipole-dipole interactions will find wide application and contribute to the advancement of research on novel two-dimensional materials.