Differential Fault analysis, a kind of active non-invasive Attack, is an effective way of analyzing cryptographic primitives that have lately earned more attention. In this study, we apply this Attack on CRAFT, a recently proposed lightweight tweakable block cipher, supported by simulation and experimental results. This cipher accepts a 64-bit Tweak, a 64-bit plaintext, and a 128-bit key to produce a 64-bit ciphertext. We assume that the target Implementation of CRAFT does not use countermeasures in this paper. The considered Fault model in the initial phase of this paper is a single-bit, but random nibble-injected Fault, where we first present the Fault injection Attack as a simulation and then report on how to retrieve the round sub-keys. Next, we use frequency glitch as a Fault injection technique in the experimental phase. This part aims to produce a single Fault at a nibble in a specific round of the CRAFT. Following our statistical analysis and according to the simulation findings, we can reduce the key space to 30. 28 and 24. 37 bits, respectively, by using 4 and 5 Faults. The experimental section also identifies the location of random Faults injected by the hardware mechanism.