Cash and jewellery were taken from the Holland Park property on 4 December 2015.
Darren February, 32, is due before Hammersmith Magistrates' Court on 5 October.
At the time the X Factor boss said he had been asleep in the property, along with his partner Lauren Silverman and their baby son Eric.
A man has been charged with burglary following a break-in at Simon Cowell's London mansion last year.