  The magnitude homology, introduced by R. Hepworth and S. Willerton, offers a
topological invariant that enables the study of graph properties. Hypergraphs,
being a generalization of graphs, serve as popular mathematical models for data
with higher-order structures. In this paper, we focus on describing the
topological characteristics of hypergraphs by considering their magnitude
homology. We begin by examining the distances between hyperedges in a
hypergraph and establish the magnitude homology of hypergraphs. Additionally,
we explore the relationship between the magnitude and the magnitude homology of
hypergraphs. Furthermore, we derive several functorial properties of the
magnitude homology for hypergraphs. Lastly, we present the K\"{u}nneth theorem
for the simple magnitude homology of hypergraphs.
