Tomographic interference microscopy is a method which can obtain the three-dimensional refractive index of live cells and tissues. In this paper, the cone-shaped light with the transverse scanning is adopted, which offers non-contact, highresolution and real-time cell magnifying imaging facilities relatively to the traditional parallel beam projecting on the tissue sample. However, the index-induced focal shift is the common disadvantage for this tomographic interference microscopy, which leads to the decline in image quality and impacts later reconstruction. Then the image sharpness metric based upon the histogram of image to determine the index-induced focal shift is introduced. The experimental results show that the variances of histograms are compatible with a Gaussian function. The peak value of the Gaussian curve corresponds to the optimal imaging position's histogram variance.