A literature review with the aim of reviewing the research related to the possibility of crime displacement following police operations. Other aims included if crime displacement does occur, what type or types of crime displacement are most common, and could they be predicted and thereby be prevented during police operations. Following the PRISMA guidelines 16 research articles fulfilled the criteria and were included in the review. As most research articles included in the present review only included measures for spatial displacement for violent crimes, conclusions regarding other types of crime displacement could not be made. Regarding spatial displacement, the findings in the present review adhered to the previous finding that spatial displacement does not generally occur following police operations. And finally, a novel displacement pattern was suggested.