Single crystals of BaFe2(As1-xPx)(2) are successfully grown. Resistivity measurements show a systematic reduction of structural and antiferromagnetic spin-density-wave (SOW) transition temperatures and a subsequent emergence of superconductivity upon P-doping. A dome shaped superconducting phase is shown in a wide range of x, with the highest transition temperature T-c approximate to 31 K locating near the end of SDW phase. A pronounced T-linear resistivity in the normal state is found in the vicinity of the optimally doping, showing a clear distinction from the conventional Fermi-liquid picture. The evolution of the resistivity and the phase diagram resemble those found in the parent BaFe2As2 under pressures, indicating that the substitution of P for As serve as chemical pressures. (c) 2009 Elsevier B.V. All rights reserved.