Recently there has been a growing interest in the applicability of reversible circuits. Reversible circuits are designed using reversible gates, which can efficiently reconstruct the previous state of the computation from the current state. These circuits may find potential applications to the future generation of optical and quantum computers. To ensure the reliability of these circuits, testing is a mandatory phase of the design cycle. Several fault models have been introduced for reversible circuits among which some of them have been taken from the conventional circuits. In this paper, we consider the problem of testing bridging faults (such as single and multiple input bridging faults, single and multiple intra-level bridging faults) in a reversible circuit designed with the NOT, CNOT, Toffoli gates (NCT library) and generalized (n-bit) Toffoli gates (GT library). We propose an Automatic Test Pattern Generation (ATPG) method using the Path-Level expression for generating the minimal complete test set to detect the faults mentioned above. The analysis of the experimental results shows that the proposed method has 100% fault coverage, and test set size is smaller than the existing methods.