"In the end, we told him that he had beaten this battle with many of the lives he was touching by sharing his three-year battle," he said in a statement.
"He was in peace with that, surrounded by the family. Thank you for giving us this time we had with him, that was a blessing."
Alvarez entered hospice care last week.
Alvarez promised to fight for the benefits to the end
On June 11, Fearless Alvarez sent to Washington with other people who first reacted to testify at the sub-committee of the Judicial Council to extend the fund for police officers, firefighters and other emergency workers who became ill after work in 2001. Terrorist the attacks of the World Trade Center. She was given ovations this day.
"I'm now in hospice, because (there) doctors can not do anything to fight cancer," wrote Alvarez next week on Facebook.
NYPD Commissioner James O 'Neill published on Saturday a tweeted photo of Alvarez with the message: "Our NYPD family and all those who react to mourn as we recall the retired NYPD detachment squad.
His strength – physical, mental, and emotional – has brought us all, and we swear to "Never forget it or his legacy" – which was just another thing to do what was right. "
Dermot Shea's chief of staff told Alvarez: "He presented the NYPD motto," Fidelis Ad Mortem, "or" Faithful to death. "Detective Lou Alvarez lost the cancer battle associated with 9/11. Inspiration, Warrior, Friend – we'll wear his sword. "
"I did not want to be anywhere else but Ground Zero"
Alvarez last week wrote that the decline in his health has nothing to do with traveling to Washington. But organizers say the journey is a fight for the first responders like a former detective.
"You made me come here a day before my 69th round of chemotherapy, and I'll make sure you never forget to take care of 9/11 responses," he said.
"We were there with one mission and we left after the end of that mission," he said. "I was in many places in this world and I did many things, but I can tell you that I did not want to be anywhere else but Ground Zero when I was there."
He added: "Now that September 11 diseases have taken many of us, we are all concerned about our children and spouses and our families if we are not here."
"So now I'm resting and still, and I will continue to fight until the Lord decides it's time," he wrote. "I will try to make a few more interviews to illuminate our fight for the benefits of the VCF we all deserve. Please take care of yourself and each other."
More than 12,500 cancer cases have been diagnosed
But those who reacted for the first time and who had been breathing in uncomfortable air blown away by decayed buildings after weeks of being told by the New Yorkers and federal officials – have since been diagnosed with various diseases and crabs.
Congress and President Barack Obama have agreed on 2010 to pay medical expenses, re-open the fund and allocate $ 2.7 billion to pay victims just to know about the chronic health problems that result from their 2001 work. part of the fund.
However, it was not enough money, and in 2015 Congress added $ 4.6 billion in funding, along with new controls and limitations of some payments. A special fund-maneuver master predicts that total payments for claims submitted before the expiration of the 2020 measure could be far greater: $ 11.6 billion, if the current increase in claims – mainly due to a rise in serious illness and death – continues.
The current proposal to extend this fund permanently would be approved by 2089. There is a lot of support in the House where the Justice Committee went, and Senator Mitch McConnell said Congress would handle this fund.
The most commonly diagnosed diseases are upper and lower respiratory problems such as asthma, gastrointestinal problems such as reflux, musculoskeletal disorders and mental health conditions.
CNN's Julia Jones contributed to this report.