Sulfur hexafluoride (SF₆) is widely used in the electric and electronic industry. It is also an important green-house gas. The study of spectroscopy and structure of weakly bound complexes containing SF₆ is helpful to gain a deep understanding on the intermolecular interactions between SF₆ and other atoms or molecules. The rotationally resolved spectrum of the perpendicular vibrational band of ³²SF₆-Ar in the ³²SF₆ v₃ band region was reported in a previous work but the rotational analysis was not completed. In this work, this vibrational band of ³²SF₆-Ar is reinvestigated. The jet-cooled rovibrational spectrum of SF₆/Ar/He gas mixtures is measured by a continuous-wave distributed feed-back quantum cascade laser (DFB-QCL) in the 10.6 μm region with a segmented- rapid-scan data acquisition scheme. The gas mixtures (SF₆:Ar:He = 0.12:1:100) are expanded into a cylinder vacuum chamber through a 0.8 mm pin-hole nozzle. The probe laser is reflected about 90 times by a pair of astigmatic mirrors inside the chamber. The observed spectrum is analyzed by the standard symmetric-top Hamiltonian with the program PGOPHER. When the resonance interaction between the l = ±1 levels in the double-degenerate excited vibrational state of ³²SF₆-Ar is considered, which was ignored in the previous study, a successful rotational analysis of the perpendicular vibrational band is achieved. The band-origin of the perpendicular band is determined to be v₀ = 947.45300(58) cm^-1 and the resonance interaction parameter is q = -0.002325(70) cm-1. A set of absorption lines close to the Q branch of the ³²SF₆ v₃ band is tentatively assigned to the perpendicular vibrational band of ³²SF₆-³⁴SF₆ complex. This band is heavily overlapped by the monomer lines so that very few lines could be assigned. The band-origin of this band is estimated to be 948.1181(12) cm^-1. These results will be useful for developing highly accurate intermolecular potential energy surfaces for SF₆-Ar complex and SF₆ dimer in the future.