[en] The γ-rays emitted in the decay of 5.3 min ¹⁰⁶In and 6.3 min sup(106m)In have been studied in singles and coincidence with Ge(Li) detectors. Decay schemes for ¹⁰⁶In and sup(106m)In based on the results of these measurements are proposed. The results restrict the spins of ¹⁰⁶In and sup(106m)In to the values 3 and 3, 4 or 5 respectively with spin 5 favoured in the latter case. This is discussed in terms of j-j coupling and present knowledge of the spins of odd-odd nuclei in this region. The level scheme of ¹⁰⁶Cd is discussed. (author)