State Election Commissioner S K Srivastava said 18 EVMs were replaced owing to battery or button related issues.
He said five EVMs were changed in North Delhi Municipal Corporation (NDMC) areas, eight in South Delhi and five in East Delhi.
"Out of 13,000 polling stations, EVMs were changed in only 18 cases. It shows our EVMs are unhackable, robust and no wrong can be done," Srivastava said.
"It (the number) speaks for itself," he said, adding that the machines have done well.
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Former Delhi minister and BJP leader Arvind Singh Lovely was among those who could not cast their vote early in the morning due to glitches in the EVM at a polling booth in East Azad Nagar area.
"I reached the polling station at 8 AM. But, I could not cast my vote as the EVM was not working. I had to leave the place due to some urgent work. I will later go to exercise my franchise," said Lovely.
"There were a few complaints of the malfunctioning of the EVMs at Burari and Kapashera, which were rectified," an official source said.
The voting for the MCD elections started at 8 AM in around 13,000 polling stations across the city amid ample security arrangements.
Out of the 13,022 polling stations, police had declared 3,284 as "sensitive" and 1,464 as "hyper-sensitive".
For the first time in the MCD elections, "None Of The Above (NOTA)" option was made available to the voters.
The voting to the 270 wards of the three civic bodies - NDMC (103 wards), SDMC (104) and EDMC (63) - concluded at 5.30 PM. Counting of votes will be held on April 26.