© 2015 IEEE. In this paper, the downlink signal-to-interference- plus-noise ratio (SINR) statistics are analysed in a direct current-biased optical orthogonal frequency division multiplexing (DCO-OFDM) based optical attocell network with a Poisson point process (PPP) cell deployment. An optical attocell system utilises existing lighting fixtures in an indoor environment to function as a small-cell cellular network. It uses each luminary as a base station (BS) to serve multiple nearby mobile users. Similar to a conventional radio frequency (RF) cellular system, the grid cell deployment is restricted by many practical issues in an optical attocell network. Therefore the performance of the system with PPP cell deployment is considered in this study in order to identify a lower bound for practical attocell networks with irregular cell deployment. An analytical framework is presented and compared with the computer simulations. Also the SINR statistics with different cell deployments are compared and discussed.