Abstract We fabricated Co 3 O 4 catalysts with different spatial structures, such as zero‐dimensional (nanoparticles), one‐dimensional (nanorods), two‐dimensional (nanoplates), and three‐dimensional (mesoporous and microporous) structures, for methane combustion. The Co 3 O 4 catalysts with different dimensional architectures demonstrated different activities for the breaking of the C−H bond of methane. In particular, Co 3 O 4 with 2 D structure gave rise to the highest activity among all the samples, in which methane could be initially ignited below 200 °C and completely converted to CO 2 at 375 °C. This activity is attributed to the collective contribution from all the exposed high‐index planes of 2 D Co 3 O 4 and to more surface‐active species being formed on 2 D Co 3 O 4 .