"Making a linking to these events is for us unacceptable and such restrictions like those passed by the American side earlier. are absolutely illegal and do not correspond to global law", said Peskov.
A Russia Foreign Ministry spokeswoman said Thursday the restrictions represent a new attempt to "demonize Russia".
The U.S. sanctions announced on Wednesday, which will go into effect around August 22, will restrict the licenses granted for exports of national security goods and technologies to Russian Federation.
The Kremlin, meanwhile, repeated its previous denial of any involvement in the attack on Sergei Skripal and his daughter Yulia in southern England this year, while playing down the importance of the sanctions.
Russian Federation has repeatedly denied responsibility for the attack, and Russia's embassy in Washington said in a statement that Washington's findings against it in the case were not backed by evidence.
Dawn Sturgess, 44, later died in hospital.
Under the 1991 Chemical and Biological Weapons Control and Warfare Elimination Act, the president must determine whether a country has used chemical or biological weapons in violation of worldwide law or used "lethal biological weapons against its own nationals", the State Department said.
PGA hacked, bitcoin ransom sought for return of files
Golfweek reports that the PGA of America's computers were hijacked during the practice rounds. As of Wednesday, the organization had not regained full access to the servers.
Moscow has been trying with mixed success to improve battered U.S. -Russia ties since Donald Trump won the White House in 2016, and Russia's political elite was quick to chalk up a summit last month between Trump and Vladimir Putin as a victory.
He went on to say the sanctions "contravene global law".
In turn, U.S. State Department officials insisted the new sanctions were triggered automatically by longstanding U.S. policy regarding the use of chemical weapons by state actors. The Russian embassy in Washington has accused the United States of running a "sanctions assembly line". This included siding with the Russian leader over US intelligence regarding alleged Kremlin interference in the 2016 elections that brought Trump to the White House. Peskov said in a conference call with reporters that it needs to see what specific action the US takes before retaliating. But unless Russia agrees within 90 days to stop all use of chemical weapons and permit inspections to confirm their elimination, additionally mandated measures could cut off nearly all trade between the two countries, prohibit landing rights for Russian airlines, and lead to a suspension of diplomatic relations.
The announcement of USA sanctions caused the value of the rouble to plunge early on Thursday and Russian stock markets to fall. The Trump administration had 60 days, under law, to report their findings back to the committee, but by the June letter Congress had heard nothing. (Authorities believe a British woman's death was caused by accidental exposure to the nerve agent).
"The mandatory sanctions that follow this determination are key to increasing pressure on Russia", Royce said.
Others in the country expressed alarm and dismay over the USA move, which threatened to diminish hopes of improved bilateral ties.