An analytical study is presented of the condensation of a pure saturated vapour on a cooled channel plate, including the interaction between the cooling liquid, the condensate and the vapour. The governing equations of co-, counter- and cross-current condensation are derived, set dimensionless and solved in closed form. The resulting implicit expressions are evaluated numerically by iteration. In this way results for condensation heat transfer are obtained for a broad range of the characteristic dimensionless numbers of the process : the McAdam number and the number of transfer units. Furthermore, using asymptotic methods, a simple approximate expression is derived that is suitable for engineering end purposes.