This work is a continuation of [Kusraev A. G. Boolean-valued Analysis Approach to Injective Banach Latices. I.–Vladikavkaz, 2011.–28 p.–(Preprint / SMI VSC RAS; № 1)] and is devoted to some useful construction in Banach lattice theory: homogeneous functional calculus, convexification and concavification, direct sum and tensor product. We are mainly concerned with the problem how to produce new injective Banach lattice from the given ones using these constructions.