Abstract: According to the conventional usage, in dealing mth the heat conduction problem for composite blocks with many tightly compressed plate layers of different heat conduction coefficients, we solve them laye, by layer but submetang to the intermediatc heat trans for reqmrement: As well-knmwn, this method is rather a tedious and annoying manipvlatron In the present paper,we have considered such heat conducts in coefficients instead of varying abruptly but gradually from layer to layer in order to make it possible to treat such problem as a whole even though in some cases it is inevitable to yield only approx:mate results This defect may be offsetted by the time saving gain, since the heat condor tion problem is anyhow m most cases unable to obta}r, very satisfactocy accuracy