We propose a construction of five-branes which fill both light-cone di
mensions in Banks, Fischler, Shenker and Susskind's matrix model of M
theory. We argue that they have the correct long-range fields and spec
trum of excitations. We prove Dirac charge quantization with the membr
ane by showing that the five-brane induces a Berry phase in the membra
ne world-volume theory, with a familiar magnetic monopole form. (C) 19
97 Published by Elsevier Science B.V.