The mechanical flow meter is a widely used tool in various industries such as the oil industry. A pair of oval gears is used in the mechanical flow meter. The most important issue in the oval gear is the lack of uniformity in the shape of its teeth. This lack of uniformity prevents the gears from interfering with each other, for this reason, similar to the circular gear, it is not possible to machine. For the oval gear machining, tool design, or the use of the wire-cut method is required. As a result, it is necessary to know the profile of oval gear teeth. Therefore, in this article, the relations governing oval gears have been investigated. In these relationships, the number of teeth, geometric dimensions, and equations of motion have been investigated. Then, it was modeled using the Gear-Otix software and with the help of the results of the relationships of the gears, the interference conditions of the two gears were checked in this software, and finally, the stress analysis of the gear was done by using Comsol software for the appropriate state. With the help of the created model, it is possible to produce this gear using the wire-cut method.