Top Quark Mass Measurements at the Tevatron

In the year 2004 several milestones in the measurement of the top quark mass were reached. The DO collaboration published a significant improvement of their Run I measurement of the top quark mass, and both Tevatron experiments released preliminary measurements based on Run II data sets collected in the period 2002-2004. The preliminary Run II results presented here do not yet surpass the current world average in precision, but this is expected to change soon. With larger data sets ready to be analyzed, a better understanding of the Run II detectors and improved analysis methods, 2005 promises to be a remarkable year for Top physics.