The Kandahar governor's spokesman says major roads throughout the province were closed Friday to all vehicles, except those with prior security clearance.
The attack took place after a meeting with the top United States commander in Afghanistan, General Scott Miller.
Both groups have warned Afghans against participating in the elections and have used violence to try to prevent people from going to the polls.
Voting in Kandahar was pushed back a week after police chief Gen. Abdul Raziq Achakzai was killed in a Taliban-claimed attack October 18, two days before the election.
Kandahar local officials said they are fully prepared to hold the elections.
Yet millions of Afghans have defied Taliban threats and waited, often for hours, to cast their votes.
More than 2,500 candidates, including mullahs, journalists and sons of warlords, are competing for 249 seats in the lower house.
Hajji Hamdullah Gulalai, head of one of the largest tribes in south Kandahar, complained bitterly about the chaos at polling stations, where workers were late arriving and had difficulty finding the names of people waiting to cast their ballots.
'Seriously ill' Glenn Hoddle being treated in hospital
His former employers expressed their concern at the information, posting on the official England Twitter account: "Worrying news". Swindon Town added: "We would like to take this moment to send our support and best wishes to Glenn Hoddle".
IEC figures suggest around half of the almost nine million people registered to vote actually cast a ballot. "They can not find people's names on the voters list".
The IEC previously said votes not biometrically verified would be rejected.
Speaking to the Islamic Republic News Agency (IRNA) on Monday Basir Mojahed said the suicide bomber who wanted to attack a polling staff was targeted by police. Another eight people were wounded, he said, although the casualty numbers could rise.
The parliamentary election, which was more than three years late and the third since the fall of the Taliban in 2001, is seen as a dry run for next year's presidential vote.
The ballot was also marred by lengthy delays at polling stations and allegations of fraud.
It was not immediately clear how many people were at the site at the time of the attack. It had also cautioned teachers not to use schools as voting booths.
Ghazni elections were delayed for an as yet indefinite period due to disagreements over constituencies and security issues.