In the current note, new analytic representations of the Maxwellian reactivities for D(d, n)3He, D(d, p)T, D(3He, p)4He and D(t, n)4He reactions are obtained using a semi-empirical approach. These expressions for reaction rates are based on the tabulated data published in recent works. The analytical formulae for the reaction rates derived in our work agree very well with the tabulated data. These results can be easily used for further numerical simulations and quick estimation of the thermonuclear reactions rate in controlled fusion research and various models of the Big Bang nucleosynthesis.