This dataset contains the cooling age results of 3 individual 40Ar/39Ar analyses using muscovite extracted from bedrock samples collected from medium-high grade metamorphic rocks along the Api transect in far western Nepal. Bedrock samples were collected for thermochronologic cooling ages to better constrain the exhumation history of the Nepal Himalaya. 40Ar/39Ar analyses were performed at the University of Vermont Noble Gas Geochronology Laboratory. The summary results include the weighted mean age and 2σ error calculated from the 40Ar/39Ar age spectra. Where a mean age and error could not be calculated, the minimum and maximum age of individual steps in the 40Ar/39Ar age spectra were used to delimit the time window the samples were exhumed through the closure temperature.