As our society becomes more dependent on different types of software systems, it is vital that they operate normally under all types of stress. System resilience is a growing subject within computer science and the tech industry. Resilience can be defined as the persistence of dependability when facing change, for example against failures and attacks. During the last few years, a lot of research has been done investigating how to engineer a resilient system, but there seems to be no work reviewing how to actually measure resilience in a software system. By conducting a systematic literature review (SLR) this thesis aims to identify and evaluate different types of methods and metrics to measure system resilience