The resonance Zb(10610) is investigated as the diquark-antidiquark Zb = [bu][(b) over bar(d) over bar] state with spin-parity J(P) = 1(+). The mass and current coupling of the resonance Z(b)(10610) are evaluated using QCD two-point sum rule and taking into account the vacuum condensates up to ten dimensions. We study the vertices Z(b)r(nS)pi (n = 1, 2, 3) by applying the QCD light-cone sum rule to compute the corresponding strong couplings gZb.(nS) p and widths of the decays Z(b)-> r(nS)pi. We explore also the vertices Z(b)h(b)(mP)pi (m = 1, 2) and calculate the couplings gZ(b)h(b)(mP) p and the widths of the decay channels Z(b) -> hb(mP)pi To this end, we calculate the mass and decay constants of the h(b)(1P) and h(b)(2P) mesons. The results obtained are compared with experimental data of the Belle Collaboration.