Pujara will arrive in mid-May and will be available for home and away County Championship fixtures against Gloucestershire, as well as matches against Glamorgan and Derbyshire.
"We have looked around the world to find the right player," said Nottinghamshire Director of Cricket Mick Newell.
"The most important thing was to sign someone with the quality to make us better, rather than limiting our options by saying it had to be a bowler.
"We have depth in our squad with regards bowling and - particularly as we'll be without Alex Hales during that period - we are more than happy to welcome a world-class batsman to the Club," Newell added.
The 29-year-old batsman has had county stints in the past with Derbyshire and Yorkshire.
He averages 51.32 in 48 Tests, scoring 3798 runs.
"I am ready for it. I am already working on my skills and preparing for competitive cricket," said Pujara.
"I love playing county cricket and Trent Bridge is a great venue. I am really looking forward to my first experience there as a home player. The aim is to win as many games as possible so the team stays on top of the points table," he added.
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