An apparatus for purging fuel vapor includes: a turbocharger; a recirculation valve; a canister connected with a fuel tank through a vapor line and collecting fuel vapor of fuel stored in the fuel tank; a purge control solenoid valve installed in a main purge line connected with the canister and selectively blocking the fuel vapor collected in the canister; a first check valve; a second check valve; and a differential pressure creating valve installed in the intake line at the upstream portion of the compressor, and creating negative pressure.