  We study dimuonium $(\mu^+\mu^-)$ production in the quark-gluon plasma
created in relativistic heavy ion collisions. The production is controlled by
the process $q\bar q\rightarrow (\mu^+\mu^-)g$, and the dimuonium motion in the
plasma is described by a transport equation. While the electrodynamics
dominated dimuonium yield is not high enough, the transverse energy
distribution carries the information of the plasma at RHIC and LHC energies.
