Rioting erupted on Saturday evening after a peaceful protest against the fatal shooting of local man Mark Duggan turned violent. Cars and buildings were set alight in the trouble, which spread to other parts of the capital last night.
The music retailer confirmed that stores in Wood Green and Enfield were targeted by looters - but that no staff were harmed, as the shops were both closed at the time.
In a statement, an HMV spokesperson said that HMV had now secured both sites and was currently assessing the full extent of the damage to fixtures and fittings.
And they added that levels of stock loss appeared to be extensive.
"Whilst its on-site teams are working hard to normalise matters as quickly as possible, it is likely that it will take a number of days before the stores are in a position to re-open. In the meantime HMV trusts that customers will understand, and apologises for the inconvenience this may cause," they added.