We theoretically demonstrate that a three-dimensional third-order topological superconductor, i.e., Majorana corner states, can be engineered by introducing $d$-wave altermagnetism into iron-based $\left(s_{\pm }\text{−}\mathrm{wave}\right)$ superconductors. We find that the interplay between altermagnetism and iron-based superconductivity gives rise to mass domain walls at the corners, leading to the emergence of Majorana zero modes. We further calculate the nonzero mirror-graded winding number to characterize the third-order phases of the system. In the end, we show that the distribution of Majorana zero modes can be spatially manipulated by tuning the Néel vector of the altermagnet.

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• Edge states
• Quantum phase transitions
• Topological materials
• Topological superconductors