This document provides an overview of catalysis by organometallic compounds. It discusses that organometallic compounds are widely used as homogeneous catalysts in industrial processes and research. Nobel Prizes have been awarded for discoveries in organometallic chemistry and homogeneous catalysis. Examples of important organometallic catalysts discussed include Wilkinson's catalyst, Noyori's catalyst for asymmetric hydrogenation, and Ziegler-Natta catalysts for polymerization of olefins. The mechanisms of homogeneous hydrogenation and different types of catalysis such as homogeneous versus heterogeneous are also summarized.