An apparatus for separating granular material into at least three fractions a static cross-flow sifter and a dynamic sifter. The static has several impact and flow-conducting elements stepped one below the other in a housing having a first material inlet, at least one sifting-gas inlet and at least one coarse-particle outlet. The dynamic sifter has a rod basket rotatable about a vertical axis, a housing containing the basket, and at least one medium-particle outlet and one fine-particle outlet. The housing of the static sifter merges directly horizontally and laterally into the housing of the dynamic sifter.