We employ the standard fluorescence method to measure the photoluminescence (PL) properties of the single-stranded nucleic acids samples with 56 and 29 base sequences. This method does not need the help of probe and fluorescence or phosphorescence material, does not damage or contaminate the sample during the measurements. It is found that when the excitation wavelength is in the range of 310-410 nm, the PL peak of the samples can be observed in the wavelength range of 410-480 nm. The PL peak red-shifts when the pumping wavelength red-shifts, while the intensity of the PL peak increases and then decreases with the increase of excitation wavelength. The single-stranded nucleic acid samples with two different base sequences show different properties of the PL spectra due to their different electronic band structures. The results are helpful for non-invasively and label-free measurement and identification of nucleic acid materials.