Scrum is an agile method for software engineering, used by companies to develop products faster and more efficiently. Because the customer is more engaged in the process and the development is incremental and iterative projects progress better, it is also easier to implement any changes in functionality the customer might want. In this thesis a review of existing scientific literature regarding the method Scrum in software engineering has been made. The review brought forth answers to three previously set research questions: which types of research of the method Scrum are present in the scientific literature, what are the advantages and challenges in working with Scrum, and what does previous research suggest for the easiest implementation of the method at work. A comparison of results of this review and our own experiences with working on a project in Software engineering class has been made.