This document provides a systematic literature review of 26 scientific articles on microscopic modeling and simulation of vehicle parking. The articles are categorized into 6 areas: urban freight delivery and double parking, impact of parking on mobility and congestion, impact of parking on urban pollution, parking and road safety, study of parking demand, and parking and decision making. The review summarizes the purpose and tools/approaches used in the models, as well as the simulation methodology and software. Overall, the review provides insight into how parking challenges have been addressed through microscopic modeling worldwide and identifies features requiring further study to inform future parking modeling needs.