High Representative Christian Schwarz-Schilling congratulated Bosnian authorities on the successful organisation of the elections and citizens on a significant turnout, calling on political parties to accept election results.
The international official said that neither the international community nor he would or should decide who would form the country's new authorities.
Schwarz-Schilling recalled that all knew what had to be done if they wanted the process of Bosnia-Herzegovina's integration with the European Union to continue.
Organisations which monitored the implementation of general elections in Bosnia said today that the elections were held in a fair and democratic atmosphere and without major irregularities that could question election results.
The elections were generally in line with international standards for democratic elections, the International Election Observation Mission (IEOM) said in a statement in Sarajevo.
The mission was established by the OSCE Office for Democratic Institutions and Human Rights, the OSCE Parliamentary Assembly, and the Council of Europe (CoE) Parliamentary Assembly.
The head of the delegation of the OSCE Parliamentary Assembly and deputy in the British parliament, David Heath, warned that it was obvious that election rules in Bosnia, imposed by the Dayton peace agreement, were not entirely in line with the European Convention on Human Rights and obligations which Bosnia had as a CoE member.
Heath stressed that Bosnia needed a new constitution and expressed hope that it would be adopted before the next elections in four years.
That constitution should be based on democratic rights of all citizens and not only of ethnic groups, of which those citizens are members, the British parliamentarian said.
The association of NGOs OKO, which also took part in election monitoring, said that the Sunday elections were among the best organised ones in the country.
The association's coordinator, Ljubo Janjic, said that the elections were monitored by 3,800 observers, which was an attempt to restore the trust of citizens in the voting process, and the association believed that this was a complete success.