Interior Minister Edouard Nduwimana said that even after the withdrawal of support from the influential Catholic Church and the European Union, parliamentary polls will take place next Friday.
"There isn't any electoral process that doesn't suffer from problems, in Burundi or any other country. We regret that certain partners have pulled out of the process... But despite this the elections will go ahead in good condition," he told AFP.
"That the EU withdraws and that the Church withdraws its priests does not mean the elections should not take place. The Burundian people are thirsty for these elections and we need to do everything so they take place in good conditions," he added.
Burundi's capital has been hit by weeks of civil unrest which has left at least 30 dead in a major security crackdown, and the crisis intensified earlier this month when a top general staged a failed coup attempt -- increasing fears that the impoverished, landlocked country could be plunged back into widespread violence.
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Parliamentary elections are due to be held on June 5, with a presidential poll scheduled for June 26.
The opposition has also said the holding of free and fair elections is impossible, with independent media silenced and allegations of threats and intimidation by Nkurunziza's supporters.