A method for the sol-gel synthesis of micro- and mesoporous aluminosilicates (MAS) using commercially available raw materials (mixtures of oligomeric esters of the orthosilisic acid of ethyl silicate-40 and water-alcohol solutions of aluminum nitrate) is developed. The effect of pH has on the porous structures of aluminosilicates with different Si/Al ratios is studied. It is shown that varying the pH when studying hydrolysis allows the synthesis of both micro- and mesoporous aluminosilicates with relatively narrow distributions of pores, changing the specific surface area from 341 to 684 m2/g, the specific pore volume from 0.2 to 0.95 cm3/g, the pore diameter from 0.17 to 40 nm, and the total acidity on ammonia from 226 to 405 μmol/g. The acid properties of the samples are studied at different SiO2/Al2O3 ratios, and their catalytic activities are measured in the model dimerization of methylstyrene (80°C; 10 wt % MAS; initial concentration of α-methylstyrene in the chlorobenzene, 3.3 mol/L). It is established that the highest conversion of α-methylstyrene (99.8 mol %) is observed for samples with SiO2/Al2O3 ratios of 5 and 20, for which the maximum concentrations of acid sites are characteristic. Micro-mesoporous aluminosilicates are promising for making acid-base type catalytic changes in different organic substances.