Under previous law, Putin would not be able to run for president again in 2024 because of term limits. Putin has led Russian Federation for almost two decades, second only to Soviet leader Josef Stalin.
Mr. Putin declared that all businesses should close next week while continuing to pay their workers.
The delay, though, does mean officials across the country can finally focus on the clear priority, battling a pandemic, and not securing a vote for Mr Putin.
Russian Federation has reported less than 700 cases of the coronavirus - a relatively small number, given its large size and population. So far no-one has died from the virus there, officials say. "But when we make it out of this situation, and we will do so, I hope this takes place maybe even earlier than you've said", Putin said, responding to an IT entrepreneur's comment about possible state support for companies in the digital knowledge market.
Putin didn't set a new date for the plebiscite originally set for April 22, saying Wednesday that it would depend on how the new coronavirus pandemic develops.
He also announced during a televised address to the nation that the government doesn't want Russians, except those working in essential sectors, to go to work next week.
He said: "Health, life and safety of the people is an absolute priority for us". Kremlin-controlled media have pointed to Russia's early decision to close its border with China on January 31, as well as aggressive testing of arrivals from hot spots such as Iran and Italy, as contributing to the low infection rate.
"The strength of society consists of this solidarity", Putin said.
DONT MISS:Katya Jones in social media return after supporting Neil Jones' mum [INSIGHT] Boris Johnson savaged over United Kingdom coronavirus lockdown move in poll [ANALYSIS] Coronavirus job retention scheme: How does the scheme work? . On Tuesday, he donned a yellow hazmat suit to visit a Moscow hospital treating COVID-19 patients, where the chief doctor warned him that Russian Federation needed to "prepare for the Italian scenario".
The president said some neighboring countries have been seriously hit by the outbreak, and that it is impossible to completely block the virus from entering Russian Federation.
Sobyanin said the rate of coronavirus growth was high, "a serious situation is developing" and the healthcare system may be overwhelmed at the virus's peak.
During their week off due to the coronavirus pandemic, employees would continue to be paid and key services would continue, he said.
He also announced extended welfare support, including for families with children and those who had lost jobs.
The city of Moscow, which appears to be taking the coronavirus threat more seriously than the federal government, this week ordered restaurants and cafés to shut down and banned gatherings of more than 50 people.