We propose a biosensor based on nanoplasmonic crystal and investigate its sensitivity. This periodic nanostructure consists of a polymer substrate including cylindrical nanoholes which is then coated by a thin metallic layer. The most important effective parameters on the optical properties and sensitivity of the proposed nanobiosensor include period, geometry and depth of nanoholes, material and thickness of metallic coating. We employ the finite difference time domain (FDTD) method to calculate the transmission versus wavelength in the visible-near infrared range and investigate the impact of crystal properties. It is shown that the proposednanobiosensor is very sensitive to the variation of refractive index.