This paper describes a low noise optical coherence tomography (OCT) technology based on curvelet algorithm and a demarcating arm to decrease the speckle noise in OCT. The demarcating arm in the Michelson interferometer makes the precise positioning of A-scans possible and diminishes the displacement error caused by tissue moving. Besides, each A-scan is curvelet transformed and adaptive filtered, the curvelet coefficients are weighted, averaged and reconstructed to reduce speckle noise. Compared with traditional A-scans average method, the application of curvelet algorithm and demarcating arm in low noise OCT provides 18.35% increase in signal to noise ratio.