A calibrationfree primary vacuometer based on an ultracold atomic gas in a shallow far offresonance optical dipole trap is proposed and demonstrated. The pressure is obtained by measuring the loss of trapped atoms which is caused by collisions with the ambient gas of the vacuum chamber. The loss is related to the ambientgas pressure via a theoretical model based on first principles. The model is applicable owing to elimination of a number of systematic effects which otherwise preclude or complicate construction of a firstprinciple model. These systematics include loss unrelated to collisions with the ambient gas as well as loss dependance on the number and energy of trapped atoms. In the demonstrated vacuometer, the atomnumber decay is exponential with the rate proportional to the pressure, where the proportionality coefficient is expressed via the gas composition and van der Waals coefficients C 6 . Whenever the gas composition is unknown, the systematic error is typically well below that of the hotcathode ionization gauge. The vacuometer is implemented using a gas of ultracold lithium6, which is the optimal working body for such a vacuometer. The lowest measured pressure, × − 2.8 10 9 Pa, is limited by the vacuum in the apparatus, while the dominant error source of 4% is due to uncertainty in the C 6 value and may be improved. Comparison with reading of a hotcathode ionization gauge is also shown. Keywords: pressure measurements, vacuometer, laser cooling and trapping of atoms, atomic and molecular interactions, van der Waals forces