A modified high cis butadiene-isoprene copolymer, a method for producing the same, and a tire having the aforementioned polymer are provided. The method includes performing a polymerization step for forming a high cis butadiene-isoprene copolymer having an organometallic active site and reacting which copolymer with a modifier mixture via the organometallic active site for forming the modified high cis butadiene-isoprene copolymer. The modifier mixture comprises a first modifier and a second modifier. The first modifier has a chemical formula of X—R1-Si(R2)3, wherein X is an glycidoxy functional group, an isocyanate functional group, or a 2-(3,4-epoxycyclohexyl group), R1 is an alkylene group, and R2 is an alkyl group or an alkoxy group. The second modifier has a chemical formula of R3-Si(R4)3, wherein R3 is an alkoxy group or an aryloxy group, and R4 is an alkyl group, an alkoxy group, an aryloxy group or a cycloalkyl group.