Based　on　the　structure　of　indecomposable　projective　and　injective　modules　over　Morita　context　algebras　and　by　using　the　duality　and　the　equivalence　of　comodule　categories,　the　structure　of　indecomposable　injective　comodules　over　Morita-Takeuchi　context　coalgebras　was　described.　Furthermore,　the　lower　and　upper　bounds　of　global　dimensions　of　these　coalgebras　was　obtained.　©,　2015,　Beijing　University　of　Technology.　All　right　reserved.