In　this　paper,　a　hybrid　splitting　method　is　proposed　for　solving　a　smoothing　Tikhonov　regularization　problem.　At　each　iteration,　the　proposed　method　solves　three　subproblems.　First　of　all,　two　subproblems　are　solved　in　a　parallel　fashion,　and　the　multiplier　associated　to　these　two　block　variables　is　updated　in　a　rapid　sequence.　Then　the　third　subproblem　is　solved　in　the　sense　of　an　alternative　fashion　with　the　former　two　subproblems.　Finally,　the　multiplier　associated　to　the　last　two　block　variables　is　updated.　Global　convergence　of　the　proposed　method　is　proven　under　some　suitable　conditions.　Some　numerical　experiments　on　the　discrete　ill-posed　problems　(DIPPs)　show　the　validity　and　efficiency　of　the　proposed　hybrid　splitting　method.