The magnetization, magnetic susceptibility, and specific heat of the single crystalline sample SmRh 2 Zn 20 were measured. The valence of Sm ions in SmRh 2 Zn 20 was found to be trivalent.No evidence of valence fluctuations was detected. SmRh 2 Zn 20 is an antiferromagnet with T N = 2.46 K. The observed magnetic phase transition temperature in the C(T, H) curves showed that T N splits into two in the external field H along the [001] and [101] directions. On the other hand, T N in H along the [111] direction did not split, decreasing to 2.20 K at H = 7 T. At 2 K, the magnetization M 111 in H along the [111] direction increased linearly with increasing field, while M 001 and M 101 deviated upward slightly from the linear dependence. We analyzed the observed magnetic and thermal properties of SmRh 2 Zn 20 taking into account the crystalline-electric-field effect, the Zeeman energy, and the exchange interaction. The theoretical calculation well reproduced the experimental χ(T ), M(H), C(T, H) and T N (H), suggesting that the energy scheme of Sm 3+ is composed of the ground state Γ 7 and the excited state Γ 8 with an energy gap of 10.8 K. The sublattice magnetic moments are expected to be along the 111 direction below T N at H = 0 T. Variations of the magnetic structures induced by the external magnetic fields in a narrow temperature region around T N are inferred on the basis of theoretical calculations.