An electric air pump has a pumping assembly, an outer bracket and an inlet plate. The pumping assembly has a casing. The outer bracket is connected pivotally to the pumping assembly and has a faceplate mounted pivotally on an open top of the casing of the pumping assembly and selectively hermetically contacting a top annular edge of an open top of the casing. A locking hole is defined through the faceplate. The inlet plate is mounted securely in the casing, located between the casing and the outer bracket and has a resilient locking hook selectively hooking in the locking hole of the outer bracket. The electric air pump is capable of inflating and deflating an inflatable product without cooperating with external devices.