The Historic Royal Palaces, which manages the exhibition, asked visitors to consider postponing their visit until the half-term holiday is over.
The problem of overcrowding in the area has been exacerbated by the closure of Tower Hill tube station – the nearest to the historic monument – for planned engineering work.
The area surrounding the Tower was close to chaos today as thousands of visitors flocked to view the stunning installation, with members of the public having to battle their way across both London and Tower Bridge.
Around four million people have already visited the display, which will raise £11.2million for charity.
A Historic Royal Palaces spokesman said: “We are really overwhelmed by the public response and are experiencing huge amounts of visitors.
We’re encouraging as many people as possible to come when half-term is over
"Our advice is that if you want to come and get a really good view of the poppies this weekend, the best time would be before 10am or after 6pm.
“The poppies are floodlit at night and look really beautiful.
"But we’re encouraging as many people as possible to come when half-term is over.”
The installation by Paul Cummins, entitled "Blood Swept Lands and Seas of Red" has seen 8,000 volunteers place hundreds of thousands of ceramic poppies into the dry moat of the Tower of London.
Each poppy – 888,246 in total – represents a British or Colonial military fatality during the war, which saw around 17million people lose their lives.
More Britons died in the First World War than in any other conflict.
Many have taken to Twitter to voice their opinions on the installation.
Emily Hilditch said: "Beautiful and spectacular display. We will remember them."
Alex Hyams tweeted: "Amazing to see the poppies at the Tower of London yesterday, definitely recommended!"
Alan Bell added: "Unbelievable crowds at Tower of London. Very solemn."
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