We report on first measurements of the surface resistance and the London pe
netration depth of Tl2Ba2CaCu2O8 thin films in the frequency range from 200
GHz to 1.0 THz at temperatures from 25 to 268 K carried out by time-domain
Terahertz transmission spectroscopy. We observe in the superconducting sta
te an increase of the surface resistance with the square of the frequency u
p to 0.9THz at 77K and above. At 78K and 0.9 THz the surface resistance is
1.6 Ohm. Below 77K the surface resistance increases with the cube of the fr
equency, Finally, the surface resistance of Tl2Ba2CaCu2O8 is compared to th
at of YBa2Cu3O6.95 and gold.