Rapid growth of wide band communication system the circularly polarized patch antenna place unbeaten able place. The designed antenna has low profile of complexity for WLAN (Wireless local area network). The antenna has modified U-slot and square patch design which will give high bandwidth of the operating frequency. Dual band antenna technology for transmitting the information through large bandwidth. In this architecture, our work is to design U-slot patch and square patch antenna design. This design is to improve the resonant frequency level based on Gaussian Process Regression. The existing method is to design the CPW-fed dual folded symmetry planar antenna. This antenna used to the multi band operation and this design consists symmetry radiation patch, dual rectangular ground plane. The existing design patch can increase the current path length and get lower resonance frequency also. The existing design covers GSM and ISM bands. The proposed method is to design a u-slot patch and square patch based microstrip antenna design. This design is to improve the resonant frequency level based Gaussian Process Regression. The GPR approach is used to implement the automatic relevance determination function and to modify the feed point placement for square patch antenna. Our proposed work, to join the ground plane to patch design. The cylinder type of joint connection to implement the dual beam antenna U- slot antenna. Our proposed work is to analysis the reflection radiation pattern and to remove the noise radiation in our antenna patch design. Low design space and to improve the resonant frequency level in proposed design. It provides high gain.