The energy of a graph G is defined as the sum of absolute values of all eigenvalues of the graph. The hand-in-hand spider graph was obtained from K₂ by adding some pendent edges and pendent paths of length 2 at its two end-vertices. The symbol ζ_n was used to denote the set of hand-in-hand spider graphs of order n. By using the quasi-order of graph, the energy of the hand-in-hand spider graph was studied, and the graphs with the first smallest energies in ζ_n were determined.