This report is a short review of a some principal results of cometary nucleus simulation obtained in the Laboratory of Experimental Astrophysics (LEA) of the Institute of Astrophysics of Tajik Academy of Sciences. In laboratory experiments on comet phenomenon modelling at high and overhigh vacuum and low temperature the influence of solar photon and corpuscular radiation on cometary nucleus was simulated. The thermal regime, the sublimation rate and the sublimation heat of the several dozen variants of cometary nucleus models from pure ices, from ice-conglomerates and from dusty ice were studied. The ice grains ejection from surface of pure water ice and from surface of water and carbon dioxide ice-conglomerate was established. On the basis of these experimental data the temperature, the tempo of desintegration, and the life-time and the brightness decrease of short period comets (without a crust on nucleus surface) were calculated. In experiments with dusty ice the conditions of refractory crust formation on the surface of nucleus models and laws of crust destruction were studied. A decrease of critical thickness of the crust and a fast increase of the frequency of crust destruction with passage into quasicontinuous destruction with increase insolation energy was established. The experiments show that the ejection velocity of the crust's fragments from models' surface by 2-3 order less than thermal velocity of molecules. One of the variant of cometary nucleus evolution, i. e. its progressive overgrowth of a refractory porous crust, the physical and mechanical and thermophysical properties of the crust and crust's influence on thermal regime and desintegration of nucleus were studied especially in detales in our laboratory experiments. At constant insolation energy the crust's thickness is proportional to the square root of the insolation time, and gas production of model is inversely proportional to the crust thickness. The temperature profile in the crust almost is linear and the ice under crust almost is isothermal. The density and the mechanical crussing strength of the crusts from organic substances (20-30 kg/m3 and 2-5 kPa respectively) are by one order less than of crusts from mineral particles, though its thermal conductivity is almost the same and approximately equal 0.05 W/m K. In the experiments, where the nucleus models from frozen gases in solid phase was bombarded by ions rays, was shown that the ion - molecular clasters and the refractory substances are formed on the models surface in result of ion - molecular reaction and these substances can formed refractory particles and refractory crust on the nucleus' surface. We used the results of our cometary nucleus simulation for investi - gations of short period comet nucleus (with crust) desintegration and evolution. So, the crust's surface temperature for subsolar point of Halley comet nucleus in perihelion is equal 470 K, while the ice temperature at the ice-crust boundary is not exceed 230 K. Show that in result of progressive grows of refractory crust the nucleus turned into asteroid-like body 17-18 magnitude after dozen revolutions of the comet around the Sun. In the report a perspective of cometary nucleus simulation is discussed.