The invention discloses a connection method of curve concrete rail beams. According to the connection method of the curve concrete rail beams, connection of the two concrete rail beams is completed through pre-buried components of a curve concrete rail beam post-cast strip. The connection method comprises the following steps that a middle connecting part and the two pre-buried structural components are manufactured; in the manufacturing process of the concrete rail beams, the two pre-buried structural components are pre-buried into the to-be-connected ends of the two concrete rail beams; the concrete rail beams are mounted at preset positions; the two ends of the middle connecting part are fixedly connected with the opposite ends of the two pre-buried structural components correspondingly;and concrete is poured in the middle connecting part, the ends of the two concrete rail beams are connected into a whole through concrete in the middle connecting part, and connection of the two concrete rail beams is completed. The two concrete rail beams are connected through the connection method of the curve concrete rail beams, the requirements for the line type and dimension precision of awhole curve continuous rail beam can be guaranteed, and therefore good connection of two adjacent curve rail beams is achieved.