The paper considers the problem concerning the response of a stably stratified two-component medium (salt water, moist air) in the presence of a stationary source of vertical impulse. For a homogeneous vertical distribution of the impulse source (i.e., the applied vertical force), due to the symmetry of the problem, one succeeded in finding the explicit analytical solution of the stationary problem for arbitrary source amplitude. The solution is expressed through Kelvin’s cylindrical functions and represents the stationary vertical jet. The two-component character of the medium can influence substantially the quality of the properties of the solution. In particular, the jet parameters are not defined uniquely by the buoyancy frequency (density stratification). In the solution, the stratifications of the two hydrodynamic components have the distinctive influences that are defined by values of corresponding exchange coefficients. For example, in salt water the solution dependence on salinity stratification may be much more than on temperature stratification.