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We investigated the characteristics of photonic crystals (PCs) nano-ring resonators as biochemical sensors theoretically. The new nano-ring resonators were formed by removing holes of a hexagon from a two-dimensional (2-D) silicon PC slab in hexagonal lattice. Resonant peak with quality factor of about 3000 is reported. Biomolecules, e.g., DNAs, trapped in a hole functionalized with molecule probes made the wavelength shift of resonant peak derived in the output terminal. The sensitivity of various sensing holes along the nano-ring was characterized. This new PC nano-ring resonator demonstrated promising features as a biochemical sensor.