In formal remarks as the Las Vegas Metropolitan Police Department, Trump said he was honored to be "in the company of heroes".
Trump, speaking next to first lady Melania Trump, on Wednesday praised the emergency workers and medical staff who responded to Sunday's massacre. "It just blew me away", said Rod Sweningson. "We just saw heartbreakingly in Las Vegas the danger that poses to society and we got to make sure our laws are updated to reflect that", Lesser said.
Paddock's girlfriend Marilou Danley, 62, who was in the Philippines at the time of the shooting, was met by Federal Bureau of Investigation agents at the airport in Los Angeles late on Tuesday night, according to a law enforcement official.
Las Vegas police's Joe Lombardo also said that police uncovered explosives and 1,000s of rounds of ammunition at Paddock's home.
Investigators looking into the worst mass shooting in modern US history have produced a profile of a gunman that Lombardo called "disturbed and unsafe". Police believe Paddock shot himself.
Why did Stephen Paddock, a 64-year-old retired accountant, fire from his 32nd-floor hotel window into a crowd of 22,000 concertgoers in the heart of Las Vegas? Lombardo called that reaction time "phenomenal".
Sheriff Joseph Lombardo told reporters that Stephen Paddock rented a room through Airbnb at the Ogden hotel in downtown Las Vegas but didn't know why. But it is unclear what his intent was.
The father of Las Vegas shooter Stephen Paddock was previously on the FBI's Most Wanted list, law enforcement officials confirmed to CNN on Monday.
He's accused of fatally shooting 58 people and wounding over 500 more in what's being called the worst mass shooting in US history. Lombardo said some victims were counted twice in the confusion following the shooting.
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"It never occurred to me in any way whatsoever that he was planning violence against anyone", she said in the statement.
The statement says she anxious that Paddock wanted to break up with her.
Paddock's brother Eric told reporters the $100,000 transfer was evidence that "Steve took care of the people he loved", and that he probably wanted to protect Danley by sending her overseas before the attack. Reports say he sent her the money so she could buy a house but Ms. Danley says she was anxious because she thought it was a way for him to break up with her.
Asked on Tuesday whether it was time to debate gun control measures, Trump said: "Perhaps that will come".
"They're learning a lot more and it'll be announced at an appropriate time", Trump said. "They were saying that 'We're going to die, we're going to die, ' and I still remember telling them: 'Not tonight, not tonight".
Officials say the Las Vegas shooter rented a room in downtown around the same time as an alternative music festival held September 22-24.
A total of 47 guns have been recovered from three locations: Paddock's hotel room and his two Nevada homes in Verdi and Mesquite. Police are looking into whether the money was intended for his girlfriend.
"His bravery was awesome because he remained with our officers, provided them with a key pass to access the door and actually continued to help them clear rooms", Lombardo said.