Abstract: There is provided a method of constructing a chimney, which includes the steps of providing an inner precast lining composed of interfitting segments stacked vertically, providing a precast concrete outer wall composed of interfitting segments in stacked relationship surrounding the lining but spaced outwardly therefrom to define an interstitial gap, providing longitudinal reinforcing steel bars within the interstitial gap, and pouring in situ concrete into the interstitial gap and allowing the concrete to harden.