The low dimensional spin models have been studied in great detail during the last decades in different branches of physics. Nowadays, studies on quantum spin models invoke renewed interests due to its growing applications in the emerging areas like quantum entanglement, magneto-caloric effects, spintronics and nanosciences. Types of those spin models are really vast depending on the magnitude of spins, the nature of exchange interactions and finally the dimensionality and the structure of lattice on which the spins are interacting. In this monograph, the spin dynamics of some low-dimensional antiferromagnets have been studied. Every spin model is designed to mimic a particular physical realization. In some cases, theoretical results are compared with the experimental data. It contains five chapters among which the last four chapters deal with the four different antiferromagnetic models. Each chapter is started with a detailed review of the related works and finally followed by a bibliography. It is expected that this monograph will be of great interests to those who are going to begin their research career in theoretical condensed matter physics particularly in Magnetism.