The invention provides a curved bridge pier fair-faced concrete construction process. The construction method specifically comprises the process steps of bridge pier column formwork installation, piercolumn reinforcing steel bar and embedded part installation, support cushion stone construction, concrete pouring, pouring, vibration, concrete curing, winter protection and construction joint treatment. The pier column formworks are shaped steel formworks, the pier column formworks are connected through bolts, the lower portions of the pier column formworks are further fixed to a bearing platform through anchor bolts, the upper portions of the pier column formworks are fixed through cable wind ropes in an inclined pulling mode, and an inserting type vibrator is adopted for vibrating and compacting in the pouring process. According to the invention, the application of the shaped steel formworks in the special-shaped bridge piers are researched, so the problem that the fair-faced concreteconstruction appearance quality of the large-mass special-shaped bridge piers is poor is solved; the construction scheme of one-time pouring by adopting the shaped steel formworks is determined; and the problem that the concrete surface appearance quality is poor due to formwork joints, reinforcing difficulty of the special-shaped bridge pier formworks and the like in the construction process is avoided.