The amendment, which includes new sanctions on the Kremlin over human rights violations and meddling in the 2016 presidential election, is attached to an Iran sanctions bill that could pass as soon as this week, making it more hard for President Trump to veto the legislation.
The House has yet to take up the measure, which is an amendment to a bill that tightens sanctions on Iran for its ballistic missile tests.
It also allows Congress to review any administration attempts to ease, suspend or end sanctions.
The White House has not said whether Trump would sign the bill, raising the possibility of a veto standoff.
While Corker was measured, other Republican and Democrat senators said Russian Federation needed to understand the US position on its election interference. Republican Senator Rand Paul and Bernie Sanders, an independent who caucuses with the Democrats, were the only two "no" votes.
The measure, which passed on a vote of 98 to two, seeks to make Tehran pay a price for its "continued support of terrorism".
The Republican-led Senate voted decisively to punish Moscow for interfering in the 2016 election by approving a wide-ranging sanctions package that targets key sectors of Russia's economy and individuals who carried out cyber attacks.
However, the legislation also restricts the White House from easing sanctions without congressional approval, reports the Guardian. Congressional committees and the Federal Bureau of Investigation are examining the Russian interference and whether there was any collusion with Trump's campaign. "I think this is harmful", Putin said, according to RIA.
Many GOP senators applauded the measure as a way to penalize Russian Federation for attacking American democracy. Secretary of State Rex Tillerson told a Senate panel Tuesday he was wary of actions that could interfere with the administration's efforts to improve relations with Russian Federation.
"The bill includes new sanctions on Iran over its ballistic missile programme and other activities not related to the worldwide nuclear agreement reached with the United States and other world powers".
Known as the Crapo Amendment, after Mike Crapo (R-Idaho), chairman of the Senate Banking, Housing and Urban Affairs Committee, the measure was endorsed by Foreign Relations Committee Chairman Bob Corker (R-Tennessee) and ranking member Ben Cardin (D-Maryland).