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Let n be any integer. The notion of strongly Gorenstein AC-injective complexes is introduced and studied. It is proven that a complex X is strongly Gorenstein AC-injective if and only if each Xn is a Gorenstein AC-injective module and any homomorphism f : A→X is null homotopic whenever A is a DG-absolutely clean complex. In particular, if a complex X is bounded and exact, then the strongly Gorenstein AC-injectivity of a complex X is equivalent to the Gorenstein AC-injectivity of the module Zn(X), and is also equivalent to the Gorenstein AC-injectivity of the module Xn. In addition, the notion of strongly Gorenstein AC-injective dimension of complexes is introduced and studied.(设n为任意整数，引入并研究了强Gorenstein AC-内射复形，证明了复形X是强Gorenstein AC-内射复形当且仅当Xn是Gorenstein AC-内射模，且对任意的DG-绝对clean复形A，复形同态f :A→X是零伦的。特别地，若X为有界正合复形，则X的强Gorenstein AC-内射性等价于模Zn(X)的Gorenstein AC-内射性，也等价于模Xn的Gorenstein AC-内射性。此外，引入并研究了复形的强Gorenstein AC-内射维数。)