We have computed the masses and decay constants of isotriplet pi(2)(1670), the isoscalar eta(2)(1645) and eta(2)(1870) states as the ground-state nonet of 1(1)D(2) case within the Thermal QCD sum rules framework. This method is applied to the spectral changes of pseudotensor mesons at high temperatures including quark, gluon, and mixed condensates up to the five dimensions. We found that their masses and decay constants are insensitive to temperature in low-temperature region. At the near critical temperature, we observed an exponential decrease of the masses of pi(2)(1670), eta(2)(1645) and eta(2)(1870), but while the decay constant of pi(2)(1670) is fallen, that of eta(2)(1645) and eta(2)(1870) is increased as a function of temperature. The modification of condensates at T not equal 0 is crucial to the change of considered mesons properties in hot medium. We discuss and interpret the implications of the physical meaning of our results.