An elevator apparatus comprising: a hoisting machine including a driving sheave: suspension means wound around the driving sheave; a car and a counterweight, each being suspended by the suspension means and being raised and lowered by the hoisting machine; a brake device for braking running of the car; and a brake control device for controlling the brake device and performing a rescue operation of moving the car to a landing floor in a case where the car is stopped between floors, the rescue operation being performed by using imbalance between a load of the car side and a load of the counterweight, characterized in that: the brake control device comprises a first computing section and a second computing section for executing the same computing processing independently of each other for performing the rescue operation; and the first computing section and the second computing section compare own computation results with each other, to thereby detect a failure of at least one of the first computing section and the second computing section the brake device comprises a brake coil (22a, 22b) for generating an electromagnetic force for canceling a braking force; between the brake coil (22a, 22b) and a power source, a first switch to be opened and closed by the first computing section and a second switch to be opened and closed by the second computing section are connected in series; and the first computing section and the second computing section respectively open the first switch and the second switch when the failure is detected. a hoisting machine including a driving sheave: suspension means wound around the driving sheave; a car and a counterweight, each being suspended by the suspension means and being raised and lowered by the hoisting machine; a brake device for braking running of the car; and a brake control device for controlling the brake device and performing a rescue operation of moving the car to a landing floor in a case where the car is stopped between floors, the rescue operation being performed by using imbalance between a load of the car side and a load of the counterweight, characterized in that: the brake control device comprises a first computing section and a second computing section for executing the same computing processing independently of each other for performing the rescue operation; and the first computing section and the second computing section compare own computation results with each other, to thereby detect a failure of at least one of the first computing section and the second computing section the brake device comprises a brake coil (22a, 22b) for generating an electromagnetic force for canceling a braking force; between the brake coil (22a, 22b) and a power source, a first switch to be opened and closed by the first computing section and a second switch to be opened and closed by the second computing section are connected in series; and the first computing section and the second computing section respectively open the first switch and the second switch when the failure is detected. suspension means wound around the driving sheave; a car and a counterweight, each being suspended by the suspension means and being raised and lowered by the hoisting machine; a brake device for braking running of the car; and a brake control device for controlling the brake device and performing a rescue operation of moving the car to a landing floor in a case where the car is stopped between floors, the rescue operation being performed by using imbalance between a load of the car side and a load of the counterweight, characterized in that: the brake control device comprises a first computing section and a second computing section for executing the same computing processing independently of each other for performing the rescue operation; and the first computing section and the second computing section compare own computation results with each other, to thereby detect a failure of at least one of the first computing section and the second computing section the brake device comprises a brake coil (22a, 22b) for generating an electromagnetic force for canceling a braking force; between the brake coil (22a, 22b) and a power source, a first switch to be opened and closed by the first computing section and a second switch to be opened and closed by the second computing section are connected in series; and the first computing section and the second computing section respectively open the first switch and the second switch when the failure is detected. the brake control device comprises a first computing section and a second computing section for executing the same computing processing independently of each other for performing the rescue operation; and the first computing section and the second computing section compare own computation results with each other, to thereby detect a failure of at least one of the first computing section and the second computing section the brake device comprises a brake coil (22a, 22b) for generating an electromagnetic force for canceling a braking force; between the brake coil (22a, 22b) and a power source, a first switch to be opened and closed by the first computing section and a second switch to be opened and closed by the second computing section are connected in series; and the first computing section and the second computing section respectively open the first switch and the second switch when the failure is detected.