Serra de Tramuntana of Mallorca is a mountain range built of a stack of thrust sheets composed mostly of Mesozoic platform carbonates, and it formed in the Oligocene and Miocene during the Alpine orogeny. Volcanic rocks, intruding the Triassic sediments, and known mostly from the bottom of the lowest thrust sheet, offer an opportunity for dating the post-sedimentary thermal history of this mountain range and for evaluating the maximum palaeotemperatures by studying the mineralogy and K–Ar dating of authigenic illite. Such a study was conducted on 16 samples from two outcrops, employing X-ray diffraction (XRD), optical microscopy, electron probe microanalysis and K–Ar dating of separated clay fractions. Illite was found in 10 samples, but only one sample was identified as pure volcanic rock, not contaminated by older detrital material. This sample yielded a K–Ar age of 133–140 Ma, which is within the experimental error for three grain-size fractions. This was confirmed by extrapolating the ages of a contaminated sample, and it is interpreted as representing the age of the maximum palaeotemperatures. These palaeotemperatures were estimated using several illite characteristics, including the Kübler Index applied to shales as below but close to the diagenesis/anchimetamorphism boundary (180–200°C). The dated pre-tectonic early Cretaceous thermal event is interpreted as recording the extremely high geothermal gradient at the end of the Mesozoic extensional phase. The maximum palaeotemperatures during the Oligocene–Miocene tectonic burial of Mallorca were not high enough to reset the Mesozoic K–Ar age of illite, thus being lower than ∼250°C, and, based on the preserved Cretaceous illite XRD characteristics, lower than 180–200°C.