Radiological dose distribution owing to the deposition of 131m Xe, 133m Xe, 133 Xe, 135m Xe, 135 Xe, and 138 Xe on ground and immersion considering a postulated accident of TRIGA Mark-II research reactor has been assessed. The radiological dose distribution has been carried out in various directions with the help of Gaussian Diffusion Model. Local meteorological data such as average wind speed, frequency, etc. has been collected and evaluated for various directions around the reactor site. For all the dominant directions, the maximum dose values due to 131m Xe, 133m Xe, 133 Xe, 135m Xe, 135 Xe, 138 Xe and the total ( 131m Xe + 133m Xe + 133 Xe + 135m Xe + 135 Xe + 138 Xe) were observed within the limit 3.03E-7-1.23E-4 µSv/h, 1.01E-5-4.09E-3 µSv/h, 0.0003-0.14 µSv/h, 2.29E-5-9.26E-3 µSv/h, 0.002 -1.111 µSv/h, 1.11E-5-4.55E-3 µSv/h, and 0.003-1.269 µSv/h, respectively. Dose distribution was found to be dominant due to immersion and the contribution was 87.55 %. There is shortage of data regarding the release of radioxenon in the atmosphere during nuclear accident especially in the case of TRIGA type research reactor. This paper is the first such detailed study on atmospheric release of radioxenon and its dose distribution for a full power-reactor and the consequences towards the environment and public health. The result can be applied to develop the radiological protective measures and to prepare an emergency response plan for the TRIGA reactor site.