In this study, the polar equations and complex numbers of curves are used to design elliptical gears that require machine tools that are difficult to produce by conventional methods and require special consultation. Using these equations, a package program has been developed by using AtuoLISP programming language in order to realize the desired number of teeth and design of elliptical gears in AutoCAD environment.ss With this package program, elliptical gear design has been realized in 5 different modules and number of teeth and they have been manufactured in CNC Wire EMD. The most important parameter for analyzing the workability of elliptical gears is the distance changes between axes. In order to analyze this experimentally, an elliptical gear analysis mechanism is designed and manufactured. In this study, a pair of elliptical gear driven crank connecting bar mechanism and four bar mechanism were analyzed. In addition, the distribution of tooth stress using the Cosmosworks module of the Solidworks program and frequency analysis using the ANSYS program were performed. The results of this study exhibitioned that elliptical gears can be used in many industrial applications.