There was a huge rally on Sunday which drew out some 100,000 people and crowds again marched on Monday.
The protests have been triggered by a controversial amnesty bill, which would have allowed former leader Thaksin Shinawatra to return to Thailand without serving a jail sentence for corruption.
The legislation failed to pass in the Senate earlier this month.
Thaksin Shinawatra - Yingluck's brother - was ousted in a military coup in 2006 and the country has been deeply divided since.
Further protests are expected on Tuesday.
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