This paper reports the principle and applications of the combination technique of optical trapping and Raman spectroscopy for real-time analysis of single living cells. We demonstrate that the information of each substance inside a captured cell can be retrieved by the Raman spectrum of the cell. The effect of alcohol solution on single human Red Blood Cell (RBC) is investigated using near-infrared laser tweezers Raman spectroscopy (LTRS). The significant difference between the spectrum of fresh RBC and the spectrum of RBC exposed to alcohol is observed due to the degradation of RBC. We also present the preliminary study result on the diagnosis of colorectal cancer using LTRS system.