Two Russian diplomats warned of a direct clash between Russia and the West.
The military aid package was announced by the Biden administration.
Russia's ambassador to the US said that it was an immediate threat to the country's interests.
The risk of a direct military clash between Russia and Western countries is increased by the supply of military products by the US and its allies.
The head of Russia's delegation to the UN Disarmament Commission told the UN General Assembly's First Committee on Tuesday that the US continues to provide weapons to the rebels.
The situation is closer to a direct military clash between Russia and NATO as a result of this.
Russia may be trying to discourage the West from helpingUkraine.
Since Russia invaded, the US and Western countries have given weapons and other assistance to the Ukrainians.
As the war continued, the weapons became even more advanced.
Western assistance has been limited because of a desire to avoid a military conflict with Russia.
Many Western nations and NATO did not send their own troops into Ukraine, did not declare a no-fly-zone over Ukraine, and tried to strike a balance with the amount of weapons they sent.
Russia is trying to discourage the West from helping.
A NATO official warned in July that Russia had deliberately raised the level of risk for the possible use of nuclear weapons to discourage Western Allies from offering military support to Ukraine.
The New York Times reported in March that some US national security officials were concerned that the weapons and other support being given to Ukraine would make a conflict with Russia more likely.
As the conflict continues, the US has become more confident in the Ukrainian military.
Biden announced a package on Tuesday that included four high mobility rocket systems.
The rocket systems can hit targets 50 miles away.
The Secretary of State said in a statement that the capabilities they are delivering are carefully tailored to make the most difference on the battlefield and strengthen Ukraine's hand at the negotiating table.
The package came after the annexation of four regions in Ukraine by Russia last week, according to the White House press secretary.
Russia's neighbors and the West have denounced Putin's move.