Kushner arranged a number of meetings with the Russian ambassador to the US.
Donald Trump's son-in-law and close aide Jared Kushner is to be questioned over ties between the American president's campaign and Russia.
It's understood that officials are keen to speak to him about meetings he arranged with the Russian ambassador to the US.
The White House denies Mr Kushner did anything wrong and says he held the gatherings as part of his role in the Trump transitional team.
An official for the White House said "Throughout the campaign and transition, Jared Kushner served as the official primary point of contact with foreign governments and officials."
One of the meetings Kushner organised was a previously unreported sit-down with the head of Russia's state-owned development bank, which has been on a US sanctions list since Russia annexed Crimea in 2014.
In a statement Senators Richard Burr and Mark Warner, the committee chairman and vice chairman, said "Mr Kushner has volunteered to be interviewed as part of the committee's investigation into the Russian activities surrounding the 2016 election."
Mr Kushner is married to Mr Trump's daughter Ivanka and works as a senior adviser to the President.
He is to lead a newly formed White House Office of American Innovation aimed at overhauling the federal government and possibly privatising some aspects of it.
Mr Kushner told the Washington Post "The government should be run like a great American company.
"Our hope is that we can achieve successes and efficiencies for our customers, who are the citizens."
Additional reporting from IRN....