This paper studies improved factorization method, in the heavy quark limit, for B ®K p decays. Paying attention to strong interaction scale AQCD, and calculating all parameters depending on that in the particular scale (the same as µ ) show that we can obtain better and comparable results for branching ratios such as BR(B0®K0p0)=8.5+0.7-0.5×10-6 and BR(B®pk0)=2.26+0.17-0.15×10-5, and for CP-asymmetry such as, ACP(B®Kp0)=0.045 and ACP(B ®Kp0)=0.0085, which are very close to experimental values. In this framework, we fix AQCD=225Mev, and also calculate parameters such as Wilson coefficients, aS, C8g and in this scale.