The widespread use of molecular and cluster beams in research and practice makes it necessary and relevant to develop methods to control their parameters and composition. Among the methods already developed, those based on using lasers play a considerable role. In this paper, we present results of research on the use of infrared (IR) lasers to control the parameters and composition of molecular and molecular cluster beams.Wedescribe the methods and present research results on neutral molecular beam acceleration due to the vibrational excitation of molecules at the nozzle outlet. We review experimental results on high-energy molecule production and the generation of molecular radicals in secondary pulsed molecular beams obtained by forming a pressure shock in front of a solid surface interacting with an intense pulsed gasdynamically cooled molecular flow, with molecules excited by the laser directly at the secondary beam source. Molecular beam kinetic energies of one to several electron volts have been achieved by this method. The optimum conditions for obtaining high-energy molecules are found. Methods for determining the composition and content of pulsed molecular cluster beams are considered, as are results on the IR laser control of the composition and content of molecular cluster beams using the resonance vibrational excitation of molecules and clusters by laser radiation in the zone of gasdynamic nozzle outlet expansion. Other methods, including laser-based ones, for controlling the velocity of beam atoms and molecules are briefly discussed.