11Cellular traction forces (CTFs) play an integral role in both physiological processes and disease, and are a topic of 12 interest in mechanobiology. Traction force microscopy (TFM) is a family of methods used to quantify CTFs in a 13 variety of settings. State-of-the-art 3D TFM methods typically rely on confocal fluorescence microscopy, which can 14 impose limitations on acquisition speed, volumetric coverage, and temporal sampling or coverage. In this report, we 15 present the first quantitative implementation of a new TFM technique: traction force optical coherence microscopy 16(TF-OCM). TF-OCM leverages the capabilities of optical coherence microscopy and computational adaptive optics 17(CAO) to enable the quantitative reconstruction of 3D CTFs in scattering media with minute-scale temporal 18 resolution. We applied TF-OCM to quantify CTFs exerted by isolated NIH-3T3 fibroblasts embedded in Matrigel, 19with five-minute temporal sampling, using images which spanned a 500×500×500 μm 3 field-of-view. Due to the 20 reliance of TF-OCM on computational imaging methods, we have provided extensive discussion of the underlying 21 equations, assumptions, and failure modes of these methods. TF-OCM has the potential to advance studies of 22 biomechanical behavior in scattering media, and may be especially well-suited to the study of cell collectives such 23as spheroids, a prevalent model in mechanobiology research. 24