The portrait will join the Indiana Governors’ Portrait Collection.
The Republican vice president has raised more than $1 million in recent months for his political committee.
In a statement, Pence said Sunday's story in The New York Times "is disgraceful and offensive to me, my family, and our entire team."
Vice President Mike Pence has turned over emails from a private AOL.com account he used to conduct official business while he was Indiana's governor.
The Citizens Action Coalition wants records that could shed light on how the Carrier company reached a deal with the state and President Trump late last year.
The cost of attending ranges between $5,000 and $1,000 per person.
Indianapolis attorney William Groth, who went through a court battle over access to emails from former Governor Mike Pence, is now seeking other documents.
Influential members of the Republican Party are urging Greg Pence to run for his brother Mike Pence's old seat.
Records obtained by The Associated Press show there are more than 50 pending requests at the office of former Gov. Pence's successor, GOP Gov. Eric Holcomb.
The former Indiana governor calls watching the race part of a family tradition.