A method of fabricating a sheet or a fabric with crystalline TiO2 nano-particles includes providing a polymer material as a support, and then synthesizing the crystalline TiO2 nano-particles with immobilizing them on a surface of the support, followed by forming the fabric or the sheet. The fabric is a textile or a nonwoven fabric. A type of the support is a fiber or a sheet type. The synthesizing of the crystalline TiO2 nano-particles is performed by occurring a sol-gel reaction under a microwave irradiation, wherein a TiO2 precursor, water, an alcohol, and an ionic liquid applied in the sol-gel reaction during the synthesizing.