PurposeRapid imaging techniques have attracted increased interest for relaxometry, but none are perfect: they are prone to static (B0) and transmit (B1) field heterogeneities, and commonly biased by T2/T1. The purpose of this study is the development of a rapid T1 and T2 relaxometry method that is completely (T2) or partly (T1) bias‐free.MethodsA new method is introduced to simultaneously quantify T1 and T2 within one single scan based on a triple echo steady‐state (TESS) approach in combination with an iterative golden section search. TESS relaxometry is optimized and evaluated from simulations, in vitro studies, and in vivo experiments.ResultsIt is found that relaxometry with TESS is not biased by T2/T1, insensitive to B0 heterogeneities, and, surprisingly, that TESS‐T2 is not affected by B1 field errors. Consequently, excellent correspondence between TESS and reference spin echo data is observed for T2 in vitro at 1.5 T and in vivo at 3 T.ConclusionTESS offers rapid T1 and T2 quantification within one single scan, and in particular B1‐insensitive T2 estimation. As a result, the new proposed method is of high interest for fast and reliable high‐resolution T2 mapping, especially of the musculoskeletal system at high to ultra‐high fields. Magn Reson Med 71:230–237, 2014. © 2013 Wiley Periodicals, Inc.