  Inspired by the observation of the fully-charm tetraquark $X(6900)$ state at
LHCb, the production of $X(6900)$ in $\bar{p}p\rightarrow J/\psi J/\psi $
reaction is studied within an effective Lagrangian approach and Breit-Wigner
formula. The numerical results show that the cross section of $X(6900)$ at the
c.m. energy of 6.9 GeV is much larger than that from the background
contribution. Moreover, we estimate dozens of signal events can be detected by
D0 experiment, which indicates that searching for the $X(6900)$ via
antiproton-proton scattering may be a very important and promising way.
Therefore, related experiments are suggested to be carried out.
