In this work, zinc oxide nanoparticles (ZnO-NPs) were synthesized by a chemical precipitation method. A precursor zinc nitrate hexahydrate, polyvinylpyrrolidone (PVP), as a surfactant stabilizing agent and ascorbic acid (AA) as a reducing agent were used. Molar ratios of ascorbic acid to zinc nitrate hexahydrate were changed from 1 to 4 during preparation processes and under the same conditions. Morphology, crystallinity, and particle sizes calculations were studied using Transmission electron microscopy (TEM) and X-ray diffraction. The particle sizes were estimated at $${\text{57 nm, 66 nm, 53 nm, 47 nm,}}$$ $${\text{and 33 nm}}$$ and crystalline sizes at $${30}{\text{.05 nm, 26}}{\text{.26 nm, 26}}{\text{.38 nm, 26}}{\text{.53 nm, and 20}}{\text{.80 nm}}$$ when the ratio of (AA:Zn) was 1, 1.5, 3, 3.5, and 4, respectively. The difference between the particle and crystalline size values because of particle size consist of several crystalline. The results illustrated the effect of different concentrations of (AA:Zn) on the formation and agglomeration of $$({\text{ZnO}} - {\text{NPs}})$$ . Fourier transform infrared spectroscopy results showed that the characteristic transmittance bands of $$({\text{ZnO}} - {\text{NPs}})$$ are closer to $$455 \, cm^{ - 1}$$ . $${\text{UV - vis}}$$ spectra results show the absorption band seen at $$368 \, \text{nm}, 374 \, \text{nm}, \, 364 \, \text{nm}, \, 358 \, \text{nm},{\text{ and }}352 \, \text{nm}$$ and optical band gap calculated at $$3.64\,\text{eV}, \, 3.58\,\text{eV}, \, 3.70\,\text{eV}, \, 3.74\,\text{eV}, {\text{ and }} 3.69\,\text{eV}$$ when the ratio of (AA:Zn) was 1, 1.5, 3, 3.5, and 4, respectively. These results clarified the effect of quantum sizes effect on the optical band gap of $$({\text{ZnO}} - {\text{NPs}})$$ .