Interpreting as a skilled profession is explained, as well as its two main types consecutive and simultaneous interpreting. Memory as a complex function of the human brain is explored as well as its features. After describing the complexity of memory, a theoretical framework of different cognitive memory models is provided starting with its foundations and then further exploring the following models: Atkinson and Shiffrin's memory model, Hitch and Baddeley’s working memory model, Gile’s Effort Model, Cowan’s memory model, and Daro and Fabbro’s simultaneous interpretation model. Apart from explaining the different models as proposed by cognitive psychologists the paper also further explains certain features of encoding, storing and retrieving memories as well as giving an overview of the functions of long-term memory. Interpreting strategies are provided to introduce how interpreters deal with their task. Memory enhancement is defined and memory examples are given. In the end determiners of good interpreters are presented such as coping with stress and formal training.