  The transition form factors of the radiative decays of the heavy tensor
mesons to heavy pseudoscalar and heavy vector mesons are calculated in the
framework of the light cone QCD sum rules method at the point $Q^2=0$. Using
the obtained values of the transition form factors at the point $Q^2=0$ the
corresponding decay widths are estimated. The results show that the radiative
decays of the heavy--light tensor mesons can be measurable in the future
planned experiments at LHCb.
