The null string's equations of motion and constraints in the Kerr spac
etime are given. We assume a generic ansatz for the null strings in th
e Kerr spacetime and we present the resulting solutions in quadratures
. Some specific string configurations, that follow from the generic on
e, are considered separately. In each case we also extract the corresp
onding solutions in the Schwarzschild spacetime. (C) 1998 Elsevier Sci
ence B.V.