Ms Banda had earlier said Tuesday’s vote had been marred by rigging, multiple voting and computer-hacking.
She said a new vote should be held within 90 days but she would not stand again in any new poll.
However, the head of the electoral commission said the president did not have the power to annul the vote.
The High Court made its ruling after the commission said that despite problems involving the electronic count the poll remained valid and vote-counting would go on.
Malawi’s election was chaotic, with one BBC correspondent reporting people voting two days on from election day because of delays in distributing polling material.
Frustrated voters set one polling station alight and smashed election material at another.
In some places, voting boxes or lids did not arrive so officials used buckets and plastic wrap.
Late on Friday, the Malawi Electoral Commission (MEC) said Joyce Banda’s rival candidate Peter Mutharika had taken a lead of 42%, with 30% of votes counted. Ms Banda was in second place with 23%, the commission said.
“I am nullifying the elections, using the powers invested in me by the Malawi constitution,” Ms Banda told a news conference.
“I want to give Malawians an opportunity to choose a candidate of their choice in a free and fair manner. When elections are to be held again, I will be stepping aside,” she added.
Mrs Banda had previously accused a party, which she did not name, of infiltrating and hacking the MEC’s counting system.
The MEC’s chairman denied that its system had been hacked.
In a previous statement about the elections, Mrs Banda had said that irregularities included
Around 7.5 million people were eligible to vote in the fifth elections since the end of one-party rule 20 years ago.
This was the first time that Malawi held presidential, parliamentary and local elections on the same day.
Source: BBC.COM
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