The radial Schrödinger wave equation was solved numerically using an anharmonic potential function with 11 parameters to generate wavefunctions and vibration–rotation energy levels of the hydrogen chloride molecule H 35Cl. Measured line strengths available in the literature cover transitions up to v=7. Using the measured values of the line strengths along with the computed wavefunctions, a set of 135 dipole moment matrix elements M 0 v′(m) were calculated. Finally, the dipole moment coefficients, M 0, M 1,…, M 7, were evaluated from the matrix elements.