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We study the transverse susceptibility of the fully frustrated antiferromagnetic Ising ∆-chain, extending Minami's transfer-matrix method for the transverse susceptibility of general-type Ising linear-chains [J. Phys. Soc. Jpn. 67 (1998), 2255. For transverse fields Γ1 on tip spin sites and Γ2 on bottom spin sites, we calculate zero-field transverse-susceptibilitiesbottom) denotes the magnetization for tip (bottom) spin sites. Both the transverse susceptibilities follow Curie's law at low temperatures. We also calculate χ x bottom (Γ1 > 0), transverse susceptibility of the bottom spin chain under finite tip-spin transverse-fields, to understand the Curie type behavior in the zero-field susceptibility. Using the second-order perturbation theory, we discuss the Γ1 dependence of χ x typeset using PTPT E X.cls Ver.0.9 N. Kunisada and Y. Fukumoto 0 i N-1 J J J 0 0