The 64-year-old white man was shot dead by officers in his hotel room on the 32nd floor of the Mandalay Bay, where “numerous firearms” were discovered.
“As far as his history and his background, we haven’t completed that part of the investigation yet,” Mr Lombardo said.
At 64 years old, Paddock is the oldest mass shooter in US history.
Officers are currently at his home in Mesquite, Nevada, awaiting a search warrant.
A spokesman for the city’s police department said: “We don’t have a lot on Mr Paddock. He does live here in our city. We have not had any law enforcement contact with him in the past.”
Earlier, Mr Lombardo had said that they believed the gunman was a “lone wolf”.
”We have no idea what his belief system was,” he said.
“Right now, we believe he was the sole aggressor and the scene is static.
“The dead man lived locally and his motives are not known.
“There were no explosives involved in the attack but police used a controlled explosion to get to the suspect.”
Police were earlier trying to locate Marilou Danley, a 62-year-old woman who reportedly travelled with Paddock before the attack.
Detectives have since made contact with her and “do not believe she is involved with the shooting on the strip”, CNN reported the Police Department as saying.
They have also found two vehicles that were being searched for in connection with the shooting.
Mr Lombardo confirmed that at least 50 people were killed and a further 200 were injured after the gunman opened fire.
The updated death toll makes the attack the deadliest mass shooting in US history.
The attack took place during the last night of the Route 91 Harvest country music festival.
Thousands of people fled the scene, including Instagram star Dan Bilzerian.
Country singer Jason Aldean was on stage when the gunfire broke. He later confirmed that he and his crew were safe, adding: “Tonight has been beyond horrific.”
US President Donald Trump has been briefed on the shooting, and has tweeted a message of support to those affected.
He wrote: “My warmest condolences and sympathies to the victims and families of the terrible Las Vegas shooting. God bless you!”
Theresa May took a break from the Conservative Party conference in Manchester to condemn the attack.
She said: ”The UK’s thoughts are with the victims and the emergency services responding to the appalling attack in Las Vegas.”
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