Entanglement—a unique property of quantum physics—has been a primary resource for quantum technologies such as quantum cryptography, quantum teleportation, and quantum computation. To use entanglement for actual quantum technologies, one needs at first to certify entanglement in a given quantum resource. However, such a certification process involves projective measurements, which inevitably destroy the given entanglement. In this work, we present an experiment that certifies quantum entanglement without destroying it completely by employing weak measurements. We have generalized widely-used entanglement certification tests by taking into account non-projective measurements and found the minimum measurement strengths required for passing the tests. After passing a certification test, we probabilistically recover the original entanglement by applying reversal measurements to the weakly disturbed state; the reversal process results in a highly entangled state directly applicable to quantum technologies. Our results show how entanglement certification can be made compatible with quantum technologies requiring entanglement.