Automated testing of complex software systems can be a challenging task, and today there are a large number of methods for its implementation. One such method is metamorphic testing, which effectively solves the problems of usual methods and is gaining popularity. However, performing metamorphic tests can take a long time, so the question arises of their distributed running, including in the cloud. Thus, the authors of this study considered the designing of a cloud serverless architecture of software for metamorphic testing. The serverless architecture for metamorphic testing is proposed, which is based on the composition of the entire system from 5 individual components: models, data generator, software artifact under test, metamorphic relations, and serverless functions. For each of the main possible types of software artifacts, the possibility of using a serverless architecture for metamorphic testing is considered. The developed architecture is presented in the form of component, deployment, and sequence diagrams. The use of the proposed architecture in practice is shown by the example of testing two software artifacts – a class library and a web application. Performance measurements have shown that despite the additional network delay when running one test, the performance of all tests in general in the case of a serverless architecture is closer to local startup and will be faster with increasing complexity and number of tests.