Police were called in just after 1pm and four people were arrested for violating public order and coronavirus laws.
Photographs taken around 5pm show hundreds of young people outside the store during this time.
Despite the coronavirus epidemic, many were not seen socially from afar.
The group eventually dispersed following police instructions.
The Metropolitan Police said in a statement: “Police were called around 11 a.m. Saturday, Dec. 5, when they received a report that a large group of people were trying to enter a store on SW1’s Brampton Road.
“A total of four men were arrested – two for Africa, one for violating the Covid rules, and one for violating the Public Order and Covid rules.
“The crowd has been dispersing ever since.”
Viewers went on social media to describe their push at events.
Read more: London Tier 3 Warning – Capital Pubs and Restaurants May Face Closure
One Twitter user asked: “What’s going on, Harrods?”
“We ended up leaving the store because the final f ** king fight is inside and out.
“No one is wearing a mask and no one is being challenged ??? # COVIDIOTS. “
Another added: “If no one thinks of going to Harrods Nightbridge.
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“Looks like riot police everywhere.”
Chaos has also been reported on social media outside the Harvey Nichols store in Nightbridge.
London is currently under level two coronavirus restrictions.
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