An “HfO2/SiO2+Al2O3/SiO2” optical coating with broad-band or dual-band has been investigated experimentally for the resonator mirror of storage-ring free electron laser (SR-FEL). It was deposited by the electron-beam evaporation. Based on the measured transmittance spectrum, it was shown that the range of the tunable wavelength is from 320 nm to 390 nm, and the measured transmittance is T(355 nm)=0.097%, measured absolute reflectivity is R(355 nm)=99.349% for the broad-band mirror coating. For the dual-band mirror coatings, the bands are located at 320 nm to 375 nm and 200 nm to 274 nm. The measured transmittance is as T(198 nm)=1.275%, T(248 nm)=0.028%, T(266 nm)=0.100%, T(355 nm)=0.194%. The measured absolute reflectivity is R(248 nm)=98.423%, R(266 nm)=98.298%, R(355 nm)=99.651% at the different wavelength.