A 65 m diameter full-steerable radio telescope TMRT with the frequency coverage from 1.25 to 50.0 GHz is newly built at Shanghai. To satisfy the demands of the pulsar and spectral line observations, a Digital Backend System (DIBAS) was built for this telescope. The DIBAS can support both the pulsar search and online folding pulsar observation. Either the coherent or incoherent dedispersion pulsar observation mode can be chosen according to demand of observers. The testing pulsar observation results showed that the pulsar observation system works well. A series of pulsar projects (such as pulsar timing, hunting, VLBI, etc) are carried out with the TMRT. Some important findings are expectable in the future.