The present paper gives a description of the register-based vital statistics, with Danish conditions as the basis. At the same time, it draws attention to matters that are important in compiling this type of statistics. The paper must be considered in connection with another paper "Danish experiences with Computerisation of Civil Registration", which provides a description of. e.g. the contents and updating method in the Danish Civil Registration System, which forms the basis of the population statistics.The paper was presented at the United Nations African Workshop on Strategies for Accelerating the Improvement of Civil Registration and Vital Statistics Systems, Rabat, Morocco, 4-8 December 1995.