We measure the current–voltage characteristics of a single-electron transistor containing two vertically coupled circular-disk-shaped quantum dots in a magnetic field applied perpendicular to the disks, and observe current peaks associated with elastic tunneling through the two dots. The magnetic field dependence of the peak positions follows that of the Fock–Darwin states, and the peak height becomes smaller as the difference in angular momentum of the states of the two dots increase. We use a sequential tunneling model to account for this result.