We　consider　a　new　chaotic　system　based　onmerging　two　well-known　systems　(the　Lorentz　and　Rossler　systems).　Meanwhile,　taking　into　account　the　effect　of　environmental　noise,　we　incorporate　whit-enoise　in　each　equation.　We　prove　the　existence,　uniqueness,　and　the　moments　estimations　of　the　Lorentz-Rossler　systems.　Numerical　experiments　show　the　applications　of　our　systems　and　illustrate　the　results.