This document includes two suites of zircon U-Pb data that establish a detailed chronostratigraphy for Cenozoic strata exposed on Bat Mountain of the southern Funeral Mountains, California, USA. The first suite of data includes detrital zircon U-Pb age distributions that characterize the maximum depositional age and provenance of five sandstone samples from the Oligocene-Miocene Amargosa Valley Formation (N=4) and the Miocene Bat Mountain Formation (N=1). The second suite of data includes zircon U-Pb data for five ash-fall tuffs that are interbedded with strata of the Amargosa Valley and Bat Mountain Formations. Together, interpreted eruption ages of tuffs and maximum depositional ages of sandstones constrain deposition of the Amargosa Valley Formation to have occurred between ca. 28 and 19 Ma, followed by deposition of the Bat Mountain Formation between ca. 15.5 and 13 Ma.