Room temperature mid-infrared experiments between 500 and 1800 cm^-1 have been performed on crystalline deoxyadenosine as a function of pressure up to about 10 GPa. Discontinuities observed near 2 and 4 GPa indicate that two separate phase transitions occur at these pressures. Changes in the spectra suggest that both transitions involve a rearrangement of the pucker of the deoxyribose moiety. The wavenumbers of the vibrational modes shift to higher values with applied pressure. Our results for deoxyadenosine are compared to similar measurements on adenosine. Assignments for the observed modes are made on the basis of work published in the literature.