Context:Requirements Engineering (RE) is one of the key processes in software development. Since Agile software development advocates continuous improvement, the question arises which Agile RE practices are the most essential and shall be adopted/improved at first? Objective:Investigate and rank the Agile RE practices based on how practitioners perceive their importance for a software project.Method:We conducted a survey asking 136 Agile software development practitioners how they perceive the importance of the 31 Agile RE practices that we had identified in a literature study. We used a ranking method based on the PROMETHEE family methods to create the ranking of relative importance of the practices.Results:The opinions of respondents from a wide range of countries around the globe allowed us to determine the perceived importance of the Agile RE practices and create a seven-tier ranking of the practices. Moreover, the analysis concerning demographic data let us identify some relationships between the experience of the respondents and their view on the importance of the Agile RE practices.Conclusions:Our findings suggest the most critical Agile RE practices are those supporting iterative development with emergent requirements and short feedback loop. Moreover, in many cases, the perceived importance of practices seems to depend on the context of the project (e.g., methodology, domain). We also learned that the popularity of the practices is highly correlated with their perceived importance.