DPhot is a "deep photometry" computer program for measuring faint point sources from an overlapping set of astronomical images without making a mosaic. A grid of points is written on the sky. The point response function is used to calculate influence coefficients between the grid points and the pixels. A least-squares fit to the pixel data gives flux density measurements at small groups of grid points overlying images of sources. Summing and centroiding the groups of measurements gives a source list of flux densities and coordinates.