Real-time 3D sound localization is an important technology for various applications such as camera steering systems, robotics audition, and gunshot direction. 3D sound localization adds a new dimension, but also significantly increases the computational requirements. Real-time 3D sound localization continuously processes large volumes of data for each possible 3D direction and acoustic frequency range. Such highly demanding compute requirements outpace current CPU compute abilities. This paper develops a real-time implementation of 3D sound localization on Graphical Processing Units (GPUs).