The addition reactions of chlorine atom with isobutene (i-CH) in solid para-hydrogen (p-H) were investigated with infrared (IR) absorption spectra. When a p-H matrix containing Cl and isobutene was irradiated with ultraviolet light at 365 nm, intense lines in a set at 534.5, 1001.0, 1212.9, 1366.0, 2961.6, and 2934.7 cm, and several weaker others due to the 1-chloro-2-methyl-2-propyl radical, C(CH)CHCl, and those in a second set including intense ones at 642.7, 799.2, 1098.2, 1371.8, and 3027.3 cm due to the 2-chloro-2-methylpropyl radical, CHC(CH)Cl, appeared; the ratio of C(CH)CHCl to CHC(CH)Cl was approximately (3 ± 1):1. The observed wavenumbers and relative intensities agree with the vibrational wavenumbers and IR intensities predicted with the B3PW91/aug-cc-pVTZ method. That the Cl atom adds to both carbons of the C=C bond of isobutene with the terminal site slightly favored is consistent with the energies of products predicted theoretically, but is in contrast to the reaction of Cl + propene in solid p-H in which the addition of Cl to mainly the central C atom was previously reported. The role of the p-H matrix in affecting the reaction paths is discussed. Absorption lines of the complex i-CH⋅Cl and the dichloro-product anti-1,2-dichloro-2-methylpropane, a-CHClCCl(CH), are also characterized.