Abstract: The invention relates to a method and an apparatus for the continuous production of foam blocks or sheets having an essentially rectangular cross-section from a foamable, liquid reaction mixture, possibly in the form of a liquid froth, in which the reaction mixture is applied from a stationary mixing head onto a moving lower facing sheet inclined in the longitudinal direction. An upper covering sheet is supplied from above and is brought into contact with the reaction mixture by means of a deflecting element. The deflecting element is flat in the longitudinal direction, so that a channel with an essentially constant cross-section is formed between the lower facing sheet and the upper covering sheet guided by the deflecting element, the length of which channel in a longitudinal direction is several times greater than its central height H.sub.M. The deflecting element can be oscillated about an axis at the entry end where it rests on the reaction mixture by the application of pressure.