We numerically studied supercontinuum generation in a tapered photonic crystal fiber with flattened dispersion properties. The fiber was weakly tapered to have normal dispersion at wavelengths around 1.55 μm after a certain distance. We pumped 4 ps pulses with low peak power and found that flatly broadened, wideband supercontinuum was generated in telecommunication windows. Furthermore, we also demonstrated the effects of tapered length and pulse width of the pump pulse on supercontinuum generation.