"I'm going to be joining Twitter and become a part of #theflock to work with the fantastic product team there," Mr Krishnan tweeted.
A well-known product executive around Silicon Valley, Mr Krishnan has primarily focused on ad technology.
"So so so so so so excited to have you Sriram! Welcome home," tweeted Twitter CEO Jack Dorsey late on Monday.
"At Facebook, he helped build the company's ad network, Audience Network; at Snap, he helped build out the company's ads API," Recode reported on Tuesday.
Mr Krishnan will report to Keith Coleman, Twitter's Vice President of Product.
Mr Krishnan left Facebook in February 2016 to help lead advertising efforts at Snapchat's parent company Snap. He quit Snap in February.
At Facebook, he led "Facebook Audience Network" to take on Google.
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