Many numerical simulations in quantum (bilinear) control use monotonically convergent algorithms. A relevant time discretization has already been proposed for these algo-rithms. We present here a way to apply these algorithms to the control of molecular orientation and alignment. Nu-merical results that illustrate some of the properties of these algorithms are given. KEY WORDS Quantum control, monotonically convergent schemes, molecular orientation and alignment, bilinear control, laser pulse shape designing.