We grew a Bi2Sr2CaCu2O8+δ le crystal by the Traveling Solvent Floating Zone (TSFZ) method. Here, we present the results of X-ray diffraction, resistivity, and magnetization measurements of various parts of the grown single crystal annealed in Ar or air. The resistivity measurements show that the value of the resistivity increases with reduction and decreases with oxidation. The superconducting transition temperature decreases as a result of air annealing. The magnetization measurements show that the density of the flux pinning varies little in response to heat treatment. However, we find that the density of the flux pinning increases with a decrease in the sample thickness.