In the paper, we propose new incomplete split-plot designs. The designs proposed are obtained by some modified Kronecker product of two components designs, one for whole-plot treatments and second for subplot treatments. The new designs are characterized with respect to general balance property. Moreover, the efficiency factors of the design with respect to whole-plot and subplot treatments as well as with respect to interaction are given. (C) 2004 Elsevier B.V. All rights reserved.