Public Health Ministry spokesman Wahid Majro said another 35 people were wounded in Sunday's attack. India and Afghanistan also propose to hold the next meeting of the strategic council between them to consider ways to enhance the fighting ability of the Afghan forces in Kabul, reported The Statesman.
There was no immediate claim of responsibility.
Afghanistan began registering voters on April 14 for the long-delayed legislative elections, which are seen as a test-run for the presidential poll next year. The explosion destroyed cars and shattered windows in nearby buildings, leaving rubble strewn across the street. "Everyone had come to get their identity cards", said Bashir Ahmad, who had been nearby when the attack took place after weeks of relative calm in the capital.
Earlier on Tuesday, unknown armed men attacked a voter registration center in Ghor province and kidnapped three IEC employees and two policemen.
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The attack - the latest assault targeting a voter registration centre - happened in a heavily Shiite-populated neighbourhood in the west of the city.
A man reacts as others comfort him at the site of a suicide attack in Kabul, Afghanistan April 22, 2018.
According to United Nations figures, more than 750 people have been killed or maimed in suicide attacks and bombings by militant groups during the three months to March.
Although ISIS has claimed it is responsible, no further details have been provided at this stage.