"If we combine our efforts, we will not suffer blows like that," he said during a live televised call-in session in Moscow on Thursday.
Putin also lashed out against those in the West who have slammed Russia for human rights abuses in its actions toward Chechnya.
"Russia is among the first victims, and I hate it when our Western partners call our terrorists who committed some heinous crimes in Russia ... freedom fighters... They supported them," said Putin, accusing unnamed people or groups of providing Russia's foes with political, financial and "media" support.
Report: Carjacked man describes wild ordeal
Based on investigative leads and information provided by Dzhokhar Tsarnaev, investigators believe that each of the brothers had their own remote control device to detonate bombs near the marathon's finish line, said a law enforcement official with knowledge of the investigation on Friday.
The previous day, a law enforcement official said at least one of the bombs that exploded was set off by remote control.
Three days after that attack, and hours after authorities released images of two suspects, they "spontaneously" decided to go to New York's Times Square to blow up their six remaining explosives, Dzhokhar Tsarnaev told investigators.
But a botched carjacking spoiled the impromptu road trip, said Tsarnaev, whose account was outlined Thursday by New York's police commissioner.
"We don't know that we would have been able to stop the terrorists had they arrived here from Boston," Mayor Michael Bloomberg said. "We're just thankful that we didn't have to find out that answer."
Before forcing their way into the vehicle the night of April 18, the brothers shot dead a campus police officer at the Massachusetts Institute of Technology, police said.
The hijacked vehicle, a Mercedes SUV, ran low on fuel and they stopped at a service station, where the vehicle's owner escaped. Shortly thereafter, police picked up the trail of the SUV. A pursuit followed, during which, authorities say, the men were throwing the bombs out the vehicle's window at them. The gun battle and Tamerlan Tsarnaev's death followed.
In a Boston Globe story, the man who was carjacked -- a 26-year-old Chinese entrepreneur identified only as Danny -- described his 90-minute ordeal, from when a man brandishing a silver handgun got into his Mercedes to when he ran for his life into a Mobil gas station's supply room.
During this time, Danny told the Globe, the gun-wielding man confessed to pulling off the Boston bombing and to killing a police officer in Cambridge, Massachusetts, where MIT's campus is located.
Together they crisscrossed around the Boston area, at one point stopping for gas and another time so that another person could join them in the car. Danny recognized both men from the photos released by the FBI earlier on April 18, men who authorities now say were Tamerlan and Dzhokhar Tsarnaev.
The carjackers openly discussed traveling to New York, before Danny was able to run to safety.
"He fell down, screaming, 'Please, please call ... the police. They want to kill me. They have a gun, they have a bomb,''" Tarek Ahmed, the clerk working in the gas station at the time, told CNN's Piers Morgan.
Danny first hid at the front counter, then went to a storage room. Ahmed, after first making sure this man wasn't one of the bombing suspects and separately thinking he might be drunk, quickly picked up a phone and called 911.
"I was waiting (for) someone to shoot me at this moment," Ahmed said, adding he couldn't see outside from where he called. "I was waiting to die ... I wanted to finish my call very fast with the police."
Within five minutes, the gas station was teeming with police. And a short time later, after a chase in which the suspects allegedly shot at police and threw bombs out their windows, Tamerlan Tsarnaev was dead. His brother was captured about 20 hours later.
James Alan Fox -- a criminology professor at Northeastern University, where Danny had been a student, and who has spent considerable time with him over recent days -- told CNN that the carjacking victim "doesn't like to see himself as a hero."
"After all, he says, 'I was only trying to save myself,'" Fox said. "But ... his actions, his composure, his smarts were what led this case to a close and may have indeed saved thousands of Americans if we believe, in fact, that (the Boston suspects) had plans to do more bombings in New York City."