We estimate the income and fuel price elasticities of household vehicle kilometres travelled (VKT) and car ownership. To model the VKT, we apply a discrete-continuous model on registrAy micro panel data, covering all Swedish households from 1999 to 2018. We model two joint choices: car ownership and VKT conditional on car ownership, where the elasticity of VKT from these two choices are obtained by using the Two-Part model. We account for unobserved household effects using a correlated random effects specification and take household adjustments into account by including lagged values of fuel prices and income. Our preferred model yields a long-run income elasticity of 0.45 for private VKT, where close to two-thirds of the effect comes from the income elasticity of car ownership. The long-run fuel price elasticity of private VKT is −1.03, with the response in VKT among car owners being larger than the response in car ownership.