  In this paper, we calculate four geometric constants for discrete Morrey
spaces. The constants are generalized von Neumann-Jordan constant, modified von
Neumann-Jordan constant, von Neumann-Jordan type constant, and Zb\"{a}ganu
constant. The four constants measure uniformly nonsquareness of the above
spaces. We obtain that the value of each of the four constants for the above
spaces is two, which means that the spaces are NOT uniformly nonsquare.
