An exact solution of the Einstein equations describing an arbitrary nu
mber of non-parallel straight infinitely long cosmic strings of zero t
hickness moving with different constant velocities and arbitary impact
parameters is constructed in a single-coordinate patch. The causal st
ructure of the spacetime is briefly studied and conditions am found fo
r the appearance of non-causal light cones. The generalization of the
solution to include plane symmetric topological defects is mentioned.