Model-based reconstruction can overcome many short-comings of IVIM and DTI by accelerating the acquisition, suppressing systematic errors from Rician noise and improving SNR. In this study we assess the feasibility of model-based reconstruction to obtain IVIM and combined IVIM-DTI parameter maps in the liver and kidneys in healthy volunteers. Results were compared to a conventional IVIM and IVIM-DTI least-squares fitting. Model-based reconstructions produced maps with less artifacts in liver and more details in the kidneys as compared to those from conventional fitting. Mean parameter values were similar for both methods.