Finding new methods to investigate criminal activities, behaviors, and responsibilities has always been a challenge for forensic research. Advances in big data, technology, and increased capabilities of smartphones has contributed to the demand for modern techniques of examination. Smartphones are ubiquitous, transformative, and have become a goldmine for forensics research. Given the right tools and research methods investigating agencies can help crack almost any illegal activity using smartphones. This paper focuses on conducting forensic analysis in exposing a terrorist or criminal network and introduces a new Big Forensic Data Framework model where different technologies of Hadoop and EnCase software are combined in an effort to promote more effective and efficient processing of the massive Big Forensic Data. The research propositions this model postulates could lead the investigating agencies to the head of the terrorist networks. Results indicate the Big Forensic Data Framework model is capable of processing Big Forensic Data.