In this paper, we introduce a new automata called Watson-Crick jumping finite automata, working on tapes which are double stranded sequences of symbols, similar to that of a Watson-Crick automata. This automata scans the double stranded sequence in a discontinuous manner (i.e.) after reading a double stranded string, the automata can jump over some subsequence and continue scanning, depending on the rule. We define some variants of such automata and compare the languages accepted by these variants with the language classes in Chomsky hierarchy. We also investigate some closure properties. © Springer Nature Switzerland AG 2019.