  We study the cosmic censorship of dynamical $p$-brane systems in a
$D$-dimensional background. This is the generalization of the analysis in the
Einstein-Maxwell-dilaton theory, which was discussed by Horne and Horowitz
[Phys. Rev. D 48, R5457 (1993)]. We show that a timelike curvature singularity
generically appears from an asymptotic region in the time evolution of the
$p$-brane solution. Since we can set regular and smooth initial data in a
dynamical M5-brane system in 11-dimensional supergravity, this implies a
violation of cosmic censorship.
