Climatic trends of the tropospheric and stratospheric temperatures were derived in a self-consistent manner by combining the MSU/AMSU measurements with a model function. The model includes the diurnal and seasonal cycles of temperature in addition to linear trends. Model parameters and the instrumental biases of MSU and AMSU are estimated from observations using a least squares technique. The globally averaged tropospheric channel revealed a 1978-2002 brightness temperature trend of 0.22-0.26 K/10yr, consistent with climate models simulations as well as the warming trend derived from surface meteorological stations. This result has been submitted for publication in the Science magazine.