A method of production of conjugated diene rubber including a first step of polymerizing a compound represented by a following formula (1) by using a polymerization initiator to obtain a polymer block of the compound represented by the formula (1) having an active end, and a second step of polymerizing a monomer containing at least a conjugated diene compound by using the active end of the polymer block, wherein, in the formula (1), R1 is a hydrogen atom or a hydrocarbon group having 1 to 20 carbon atoms, R2 is a hydrocarbon group having 3 to 20 carbon atoms and containing a ring structure, each of R3 and R4 independently is a hydrogen atom or a hydrocarbon group having 1 to 20 carbon atoms which is substituted or unsubstituted, and X is arbitrary monovalent group.