A novel approach to the evaluation of time resolved particle-based tomographic data is introduced. By seizing the time  information contained in such datasets, a very fast and accurate tracking of nearly all particles within the measurement  domain is achieved at seeding densities comparable to (and probably above) the thresholds for tomographic PIV. The  method relies on predicting the position of already tracked particles and refining the found position by an image  matching scheme (‘shaking’ all particles within the measurement ‘box’ until they fit the images: ‘Shake The Box’ -  STB). New particles entering the measurement domain are identified using triangulation on the residual images.  Application of the method on a high-resolution time-resolved experimental dataset showed a reliable tracking of the  vast majority of available particles for long time-series with many particles being tracked for their whole length of stay  within the measurement domain. The image matching process ensures highly accurate particle positioning. Comparing  the results to tomographic PIV evaluations by interpolating vector volumes from the discrete particles shows a high  conformity of the results. The availability of discrete track information additionally allows for Lagrangian evaluations  not possible with PIV data, as well as easy temporal smoothing and a reliable determination of derivations.  The processing time of a not fully optimized version of STB proved to be a factor of 3 to 4 faster compared to the  fastest methods available for TOMO-PIV.