This paper makes a theoretical analysis of the steady-state creep strain rates and creep rupturing times along the two principal directions of elliptical cell honeycombs using a unit cell model and assuming that solid cell walls follow power law creep and the Monkman–Grant relationship. Based on the results, the effects of the ellipticity of cell walls and relative density of elliptical cell honeycombs on their steady-state creep strain rates and creep-rupturing times can be evaluated. It is found that the Monkman–Grant parameters, m1∗ and m2∗, of elliptical and circular cell honeycombs are equal to that of solid cell walls, ms. In addition, the other Monkman–Grant parameters B1∗ and B2∗ decrease as the relative density increases, and B2∗ is always greater than B1∗. Moreover, the creep strain rates and creep-rupturing times of elliptical and circular cell honeycombs are compared with those of regular hexagonal honeycombs with the same relative-density to evaluate the efficiency of their microstructures.