We　propose　a　scheme　for　the　generation　of　entangled　coherent　states　for　the　center-of-mass　and　relative　vibrational　modes　of　two　trapped　ions.　In　the　scheme　the　ions　are　simultaneously　illuminated　by　a　single　standing-wave　laser　tuned　to　the　carrier.　The　scheme　allows　the　production　of　an　entangled　coherent　states　with　a　considerably　high　speed　as　long　as　a　laser　field　of　sufficiently　high　intensity　is　available.