Dynamic Condition Response (DCR) Graphs is a popular declarative process modelling notation which is supported by commercial modelling tools and has seen significant industrial adoption. The problem of aligning traces with DCR Graphs, with it’s multitude of applications such as conformance checking and log repair, has surprisingly not been solved yet. In this paper we address this open gap in the research by developing an algorithm for efficiently computing the optimal alignment of a DCR Graph and a trace. We evaluate the algorithm on the PDC 2022 dataset, showing that even for large models and traces alignment problems can be solved within milliseconds, and present a case study based on test-driven modelling.