The country has also been subject to economic sanctions by the West over its involvement in the crisis in Ukraine.
Russia will spend most of the cash on federal loans, pensions and recapitalising its banks.
The country will also make public spending cuts.
Over the next three years most spending, apart military and social programmes, will be hit.
Earlier this month, the International Monetary Fund forecast that Russia's economy will contract by 3% this year and 1% in 2016.
Russia's government will spend about one trillion roubles to recapitalise banks through the issue of government bonds.
The plan includes a separate scheme to help recapitalise some banks with 250bn roubles, while 300bn roubles will be provided to Vnesheconombank, the state development bank.
There will be an extra 200bn roubles in state guarantees to finance investment projects, and regional governments will get 160bn roubles in federal loans.
Meanwhile, the government has proposed public spending cuts of 10% this year and 5% over the next two years.
The cuts have yet to be approved by the Russian parliament.

About 1,250 people died in road accidents last year, the ministry said.
The decision has been strongly criticised by many Cameroonians, who say it will affect their businesses and nightlife.
The ban means that buses and taxis must be off roads from 2000 GMT to 0400 GMT.
The ministry said night travel accounted for 35% of accidents, even though few people commuted at night.
The accidents were caused mainly by heavy drinking, it said.
About 12,000 people died last year in road accidents in Cameroon and another 12,000 were wounded, the ministry said.
The BBC's Randy Joe Sa'ah in the capital, Yaounde, says that while many people welcome moves to reduce fatalities, they believe poor roads are the main cause of accidents.
Only about 20% of Cameroon's roads are tarred, he says.
Many people are not sure how they will travel to and from work because some journeys last more than six hours, our reporter says.
Police have been ordered to pull off buses and taxis that travel after 2000 GMT, raising the prospect of commuters sleeping on the roadside or walking home, he says.
The ban has also been condemned by owners of bars and night clubs, who believe that it will ruin their businesses and destroy nightlife in big cities.
Small-scale traders said their income would be badly affected because their produce would not reach markets early in the morning.
"I'm finished. This is bad for me and my children," a vegetable hawker, Grace Teboh, was quoted by the AFP news agency as saying.

A man in his 40s was found fatally shot near the Colnbrook bypass, Slough, on Monday.
A relative said Reuben Gregory had lived with his sister Kathleen in the area for more than 50 years. It is believed they lived in a caravan.
She described them as "very, very quiet inoffensive people".
"They are just very peaceable people, living a very simple life. That's the way they have always lived, that's the only life they know."
The family member, who did not want to be named, said the siblings had been targeted 30 years ago in a burglary during which Ms Gregory was tied up.
Emergency services teams, including armed officers, found the man at 03:30 BST.
Mr Gregory, in his 70s, and Ms Gregory, in her 50s, remain in custody.
Det Ch Supt Chris Ward, of Thames Valley Police, said investigators were treating the shooting as an "isolated incident".
He added: "I must stress that this incident is not being treated as related to terrorism and there is no threat to the wider public."
On Monday, officers arrested a 48-year-old man on suspicion of burglary in connection with the incident.
The man, who is said to be local to the area, is in police custody.
The Russian government is to spend at least 2.34 trillion roubles ($35bn, Â£23bn) to try to stave off an economic crisis, following a collapse in oil prices and the value of the rouble.
[NEXT_CONCEPT]
Cameroon has banned all night-time public transport on roads to curb accidents caused by heavy drinking, the transport ministry says.
[NEXT_CONCEPT]
An elderly man and his sister arrested on suspicion of murder live together in "secluded" Berkshire woodland, a relative has claimed.