The proton and deuteron spin-lattice relaxation times, $T_{1}(H)$ and $T_{1}(D)$, have been measured in HD between 30 K and 313 K in the pressure of 0.67 - 1.92 atm. The nuclear magnetic resonance frequencies are respectively 358.012 MHz for a proton and 58.958 MHz for a deuteron. From the measurements of $T_{1}(H)$ and $T_{1}(D)$ the ratio of the correlation times ${ au}_{1};and;{ au}_{2}$ that are associated with the molecular angular momentum operators was obtained. The nuclear spin-lattice relaxation time at J = 1 state has been observed to have a temperature dependence being proportional to $T^{0.25}$.