The scattering phase parameters for short-range local potentials can be evaluated by using the phase function method (PFM), regarded as an efficient approach for computing scattering phase shifts for quantum mechanical problems, without solving the Schrödinger equation. We adapt PFM to deal with the Hulthén-distorted separable non-local potentials and derive a closed form expression for the phase function with rigorous inclusion of electromagnetic effect. We demonstrate the usefulness of our constructed expression by calculating elastic scattering phase parameters for proton–deuteron (p–d) system which agree quite well with the previous results.