In this paper, a Yagi-Uda planar antenna of frequency 2.4 GHz is designed and its characteristics are studied. The antenna is fabricated using FR4 Epoxy substrate material having a dielectric constant, εr = 4.4 and a thickness of 1.6 mm. The antenna is designed and simulated in HFSS software. This paper is focused to design an antenna with increased gain. This improvement in gain is implemented by reducing the back lobe with the usage of the reflector and enhancing the forward traveling wave by using the director. In this paper, the character study of patch antenna along with reflector and directors are investigated. The gain of the composite antenna is 3.8 dB, which is a 27% improvement over the basic patch antenna. This composite antenna can be used for a variety of applications like RF energy harvesting, WLAN, LTE, and many other medical applications.