The three-parameter generalized van der Waals equation of state Ibr liquids and gases is analyzed. This equation ccmtains the generalized expression a l'" Ibr the molecular pressure: here tile parameter n takes into account the specilicity of intermolecular anractivc Ibrces for various substances. The equation is presented in tile reduced Ibrm. from which follows tile single-parameter law of corresponding states with the thennodynanfic similarity parameter n. 11 is established lhal Ior alkali metals tile value of tile parameter n is the same and does not depend on temperature substantially. From tile given generalized equation, the expressions for the bmodal (equilibrium curve of tile liqtfid and vapor phases) are obtained. For cesium, rubidium, and potassiunl, tile temperature dependence of density is c;,Iculated over tile temperature range from their melting point to tile critical point: tile resuhs of tile calculations agree with experinlental data. It is established that for alkali metals, the law of rectilinear diameter breaks down m the vicinity of the critical point.