Pattern matching with gap constraints is one of the key issues of sequential pattern mining. Recently, most research work focuses on pattern matching with non-negative gaps, but the rule strictly limits the order that each character appears in the sequence. In order to increase the flexibility of matching while taking into account that it is more reasonable to use one-off condition in sequential pattern mining, this paper studies the pattern matching problem under general gap and one-off condition, which is NP-hard. To tackle this issue, an algorithm, named MSAING, is proposed. Firstly, the algorithm processes the pattern and sequence using the Reverse strategy to get the maximum number of matching results. Secondly, it significantly reduces the time and space overhead with linear table structure in the matching process, and improves the matching rate using the backtracking method. Finally, to further improve the efficiency of the algorithm, it determines whether internal repetition exists in the pattern or not, according to the inside_Checking mechanism. Completeness of the MSAING algorithm is proved in theory. Experimental results verify the accuracy of the matching results of the MSAING algorithm and its validity in terms of the time and space complexity.