The seat fell vacant following the resignation of Manohar Parrikar, who quit as defence minister after becoming the Goa chief minister. His term was to end on November 25, 2020.
"Today was the last date of withdrawal of nominations and Puri was the lone candidate. He was elected unopposed," Dubey said.
A career diplomat-turned-politician, 65-year-old Puri was sworn in as a minister in September and was allocated the housing and urban development ministry.
His election was all but certain in view of the BJP's massive strength in the 403-member Uttar Pradesh Assembly.
The Election Commission announced the elections in December and the last date for filing nominations for the election was January 5.
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