Poly(glycolide-co-${varepsilon}$-caprolactone)(PGCL) block copolymers were synthesized by two step polymerization using glycolide and ${varepsilon}$-caprolactone as starting materials. The chain-microstructures of the resulting block copolymers were characterized by $^1H-NMR$. The structure and thermal properties of the PGCL block copolymer were strongly affected by the chain-microstructure of the prepolymer. The non-isothermal crystallization behavior of the PGCL block copolymers was examined at various cooling rates and analyzed with modified-Avrami and Ziabicki equations. The PGCL block copolymer with a lower degree of randomness in the prepolymer block had a higher crystallization temperature and faster crystallization rate, which suggests that differences in chain-microstructure of the PGCL prepolymer can affect the crystallization characteristics, such as crystallinity and crystallization rate.