A single cell 1050 MHz, β = 0.49 elliptical cavity has been designed for possible use in High Current Proton Accelerator. The structural behavior of the single cell superconducting elliptical cavity has been studied by finite element structural analysis code. The max. Von MISES stress and cavity wall displacements were calculated under the vacuum load for various wall thickness. Both niobium and copper have been considered as cavity material. The RF resonant frequency shift due to the static Lorentz force has been calculated for 3 mm wall thickness. Structural properties of the 1050 MHz, β = 0.49 cavity have been compared with the 700 MHz, β = 0.42 single cell elliptical cavity. It was found that from structural point of view 1050 MHz, β = 0.49 cavity is more suitable for high current proton accelerator. © 2008 IOP Publishing Ltd and SISSA.