The invention relates to a strong inhibitive drilling fluid for drilling shale for shale gas development and solves the problem of wellbore instability, and hydration collapse of the shale stratum is inhibited. The technical scheme of the strong inhibitive drilling fluid is that the the drilling fluid is prepared from the compositions of, by mass unit, 900-1,000 g of tap water, 30-60 g of bentonite for drilling fluid, 2-4 g of Na2CO3, 0.3-1 g of strong inhibitive filtrate reducer JT900 for drilling fluid, 0.5-1 g of potassium strong inhibitor FK-1, 2-5 g of coating agent FK-421 for drilling fluid, 1-1.5 g of shale inhibitor NF-923, 1-2 g of positive ion viscosity reducer XH-1, 2-3 g of shale stabilizer DLSAS, 4-6 g of reservoir shielding agent QCX-1, 2-4 g of blocking agent DE-1 and 0.5-1 g of lubricant RT-881 for drilling fluid; finally, the alkali liquor with the mass percentage concentration of 40% is prepared by adding water to NaOH, the system PH is adjusted to be 8.5, the drilling fluid weighting agent baryte is used for weighting the the system density to be 1.8-2.0 g / cm<3>, and the drilling liquid is prepared. The drilling fluid system has small environment pollution, and the drilling liquid has excellent rheological property and high sealing capacity and is used for drilling the shale.