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The strong form factor of the $B_{c} B_{c}J/\Psi$ vertex is calculated in theframework of the QCD sum rules method at finite temperature. Taking intoaccount additional operators appearing at finite temperature, thermal Wilsonexpansion is obtained and QCD sum rules are derived. While increasingtemperature, the strong form factor remains unchanged up to $T\simeq100~MeV$but slightly increases after this point. After $T\simeq160~MeV$, the formfactor suddenly decreases up to $T\simeq170~MeV$. The obtained result of thecoupling constant by fitting the form factor at $Q^2=-m^2_{offshell}$ at $T=0$is in a very good agreement with the QCD sum rules calculations at vacuum. Ourprediction can be checked in the future experiments.

$ B_c B_c J/\psi $ Vertex Form Factor at Finite Temperature in the Framework of QCD Sum Rules Approach