Addressing a UN Security Council session on Kosovo, Tadic said that Belgrade offered reaching an agreement on Kosovo without a one-sided change of internationally recognised borders or political destabilisation.
He said the solution would be internationally guaranteed and brought to the negotiating table again after a certain period, for example 20 years.
Tanjug quoted Tadic as saying that Albanians in Kosovo would be given very broad autonomy, provided that they accepted the same autonomy for a Serb entity in the province.
The president said the process of Serbia and Montenegro's association with the European Union would continue, including Kosovo.
Commenting on some positions in the international community, Tadic said the fact that Kosovo Albanians had suffered so much under the Milosevic regime could not be an argument to impose Kosovo's independence.
He said it was short-sighted and politically dangerous to view Kosovo as a unique case, stating that if Kosovo Albanians were granted independence, this could raise the issue of why independence should not also be granted to other ethnic groups in other states who demand it.
The chief of the UN Mission in Kosovo, Soren Jessen-Petersen, told the Security Council that stepping up negotiations on Kosovo's future status was in everyone's interest and that the end result should be a multiethnic society oriented towards peace and cooperation with neighbours.
Submitting his regular report, he recalled that the international community had concluded that the status quo in Kosovo was untenable.
He said the pace at which the status of Kosovo would be defined would depend on its population's perseverance in applying standards, notably those referring to the preservation of multiethnicity.
Jessen-Petersen said the implementation of standards had considerably slowed down, notably those referring to protection of minorities, in the period from his last report on October 15 and mid-December. He added, however, that since then the leaders of Kosovo institutions had launched numerous initiatives to step up the meeting of standards.
Jessen-Petersen said the process of determining Kosovo's future status filled local Albanians with hope and Serbs with fear, adding that the best way to rectify that was to directly include Kosovo Serbs in the province's institutions. Belgrade's support is key, he underlined.
Tadic's and Jessen-Petersen's addresses were followed by a discussion of ambassadors from Security Council member states.
US Ambassador John Bolton said independence was one of the possible solutions for Kosovo, and that every solution must be acceptable to the inhabitants of Kosovo, reinforce regional stability, advance democracy, and step up the region's Euro-Atlantic integration.
British Ambassador Emyr Jones Parry agreed, saying that independence was one option and that one could not ignore the opinion of 90 per cent of Kosovo Albanians.
Parry said the Bajram Kosumi Cabinet must do more in meeting international community standards in order to provide conditions for a better and safer life of minority communities.
Chinese Ambassador Wang Guangya said the lasting solution to the Kosovo issue lay in honouring Resolution 1244 principles as well as the territorial integrity and sovereignty of Serbia and Montenegro.
French Ambassador Jean-Marc Sabliere said the settlement of Kosovo's status must be acceptable to all. He added that meeting standards would be crucial in deciding on the province's future, and that Kosovo must be multiethnic.