The free game, which was developed by toymaker Hasbro using Google Maps as the playing board, was launched yesterday.
A spokeswoman for Hasbro in the UK told Revolution that 1.7m people have attempted to access the game in the last 24 hours.
She said "unprecedented demand" has caused the game's overloaded servers to crash under the strain. Engineers are currently working at restoring the game, which will only be available for four months.
At the time of the launch, the toymaker claimed Monopoly City Streets would be "the biggest game of Monopoly of all time", allowing players to purchase almost "any street in the world".
The goal of the game, like the real-world version, is to earn money on real estate and become the richest property magnate.
New players are given $3m Monopoly dollars to build their virtual empire, with every street in the world available for purchase.
Once a player has gained ownership of a street, they are able to charge rent and build new virtual properties. Streets can also be traded and sold with other players.
At present, the game will close on the January 31, 2010.
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