Investigations were carried out to obtain the technology of production of hard laser mirrors having a high damage threshold. These mirrors are to be built into a resonator of a Nd phosphate glass laser the characteristic parameters of which are: lambda equals 1055 nm, tau equals 15 ns, energy density in the resonator 3 J/cm**2; the reflection coefficient of the mirrors: 99. 5% and the output mirror, 32% less than equivalent to R less than equivalent to 85%. MgF//2 and SiO//2 were used as components with low refractive indices, TiO//2, CeO//2, ZrO//2 as components with high refractive indices. The following parameters were controlled carefully in the evaporating processes: oxygen pressure, evaporating rate, substrate temperature, residual gas pressure (LN//2 cooling). The evaporating processes were made in a BAK76OE equipment, TiO//2, CeO//2, ZrO//2, SiO//2 were evaporated by electron-gun (type EKS110) and MgF//2 was evaporated from an ordinary Mo boat.