The use of journal impact factors and other metric indicators of research productivity, such as the h-index, has been heavily criticized for being invalid for the assessment of individual researchers and for fueling a detrimental “publish or perish” culture. Multiple initiatives call for developing alternatives to existing metrics that better reflect quality (instead of quantity) in research assessment. This report, written by a task force established by the German Psychological Society, proposes how responsible research assessment could be done in the field of psychology. We present four principles of responsible research assessment in hiring and promotion and suggest a two-phase assessment procedure that combines the objectivity and efficiency of indicators with a qualitative, discursive assessment of shortlisted candidates. The main aspects of our proposal are (a) to broaden the range of relevant research contributions to include published data sets and research software, along with research papers, and (b) to place greater emphasis on quality and rigor in research evaluation.