A 46-year-old man was charged after a video was posted online in which a cardboard image of the Grenfell Tower was burned.
Paul Bussetti of South Norwood in south-east London is accused of sending or causing roughly offensive material over a public communications network in two cases.
Metropolitan police said he will appear in Westminster district court on April 30.
Six men were arrested and a seventh interview was interviewed with caution regarding the video, causing indignation when it was put online in November.
On June 14, 2017, 72 people died in the West London skyscraper following a fire.