The structure of Ca1-xMgx(PO3)(2) crystalline and glassy samples was investigated in the whole concentration region of x = 0-1.0. From X-ray diffraction data it was found that, in the crystalline samples, solid solutions are formed for x < 0.3 on the calcium-side of the system, with the structure of beta-Ca(PO3)(2), and for x > 0.6 on its magnesium-side, with the structure of Mg2P4O12. Similar results were obtained from the study of their infrared and Raman spectra. In the glassy state, homogeneous glasses were formed within the whole concentration region. The values of their transformation temperatures, T-g, and crystallization temperature, T-c, change slightly with the composition and lie within the region of T-g = 529-544 degrees C and T-c = 631-677 degrees C.