power industry guidance decentralization took to vertical integrated monopoly (as an uneffective manage systems) liquidation and transition to market relations. An industry division takes place on business kinds: generation, consumption, transmission, distribution and sale. As a result of such division many competing enterprise appear, that allows to create an electric power market. With the functioning of the electric power market all participants in the market sell and buy electric power on the united equilibrium price. United equilibrium price for all participants of market can’t be established to be upon consideration of system limitations. Their individual equilibrium prices, called nodal price, correspond to different generator and load units. In the work is illustrated possibility of the nodal prices calculation for load nods with the aid of the indeterminate Lagrange multipliers based on the example of the electric power system test scheme. The corresponding optimization problem of the linear programming preliminarily is solved for the revealing of active limitations to the variables. The calculations showed that, in the case of satisfaction of technological limitations, we must off-load (but sometimes even turn off) generators with cheap electric power and start using generators with more expensive electric power. As a result, in different electrical power system nodes appear different nodal prices