A single-shot diffusion MRI technique on a standard clinical 1.5T scanner is presented. The method incorporates the following elements: (a) an inversion RF pulse followed by a delay of 1.3 s to null cerebral spinal fluid (CSF) signal, (b) a stimulated echo sequence (TE = 56 ms, TM = 100 ms) to obtain strong diffusion weighting, (c) a single-shot gradient- and spin-echo (GRASE) sequence for imaging with a modified k-space trajectory and Carr-Purcell Meiboom-Gill (CPMG)-phase cycle. The trace of the diffusion coefficient obtained with this approach is in good agreement with values reported for animal brain, and for recent human studies. It is demonstrated that single-shot diffusion imaging of human brain is feasible on an unmodified standard instrument without high-gradient slew rate or extreme field homogeneity.