Single crystals of BaRh2As2 have been synthesized from a Pb flux. We present the room temperature crystal structure, single crystal x-ray diffraction measurements as a function of temperature T , anisotropic magnetic susceptibility χ versus T , electrical resistivity in the ab-plane ρ versus T , Hall coefficient versus T and magnetic field H, and heat capacity C versus T measurements on the crystals. The single crystal structure determination confirms that BaRh2As2 forms in the tetragonal ThCr2Si2 type structure (space group I4/mmm) with lattice parameters a = b = 4.0564(6)Å and c = 12.797(4)Å. Band structure calculations show that BaRh2As2 should be metallic with a small density of states at the Fermi energy N (EF) = 3.49 states/eV f.u. (where f.u.≡ formula unit) for both spin directions. ρ(T ) data in the ab-plane confirm that the material is indeed metallic with a residual resistivity ρ(2 K) = 29 µΩ cm, and with a residual resistivity ratio ρ(310 K)/ρ(2 K) = 5.3. The observed χ(T ) is small (∼ 10 −5 cm 3 /mol) and weakly anisotropic with χ ab /χc ≈ 2. The C(T ) data indicate a small density of states at the Fermi energy with the low temperature Sommerfeld coefficient γ = 4.7(9) mJ/mol K 2 . There are no indications of superconductivity, spin density wave, or structural transitions between 2 K and 300 K. We compare the calculated density of states versus energy of BaRh2As2 with that of BaFe2As2.