We we have successfully fabricated ceramic superconductors of Hg-1223 with substitution of Pb for Hg, i. e. Hg1-xPbxBa2Ca2Cu3ov, by using encapsulation and short time annealing techniques. Samples fabricated in this manner may have nearly single phase structure and some enhancement ofTc can be achieved through this method. The materials of this ceramic with x ranging from 0 to 0.5 exhibit high-temperature superconductivity at temperatures falling in the range from 103 to 135K. The sample with optimum doping of Pb of x=0.34 and 6=0.40 has a highest Tc of 135K and its diamagnetic onset temperatureTdiac=143K. The composition of this sample has been found experimentally and is specified by a formula of Hg0.66Pb0.34Ba2Cal. 98Cu2.9708.4. The valence number for the copper constituent is given byvcu=2.30