Hoffmans release update after assassination attempt: 'Incredibly lucky to be alive'

Two days after a man in a mask knocked on their door, identified himself as a police officer and opened fire on them, Minnesota state Sen. John Hoffman and his wife, Yvette, are recovering and "both incredibly lucky to be alive," their family said.

"We continue our healing journey and are humbled by the outpouring of love and support our family has received from across the state and our nation," the family said in a statement obtained by ABC News.

Early Saturday morning, the gunman knocked on the Hoffmans' door in Champlin, Minnesota, and identified himself as a police officer, according to court documents.

The suspect -- wearing a silicon mask -- shined a flashlight in the Hoffmans' faces, said there was a shooting reported in the house and asked if the couple had weapons, according to acting U.S. Attorney for the District of Minnesota Joseph Thompson.

The Hoffmans shouted, "You're not a cop!" Thompson said. Then, the suspect announced "this is a robbery" and he forced his way into the home and shot them, Thompson said.

At 2:05 a.m., the Hoffmans' daughter called 911 to report their parents had been shot, officials said.

John Hoffman was shot nine times and Yvette was shot eight times, Yvette said, according to a message released by Minnesota Sen. Amy Klobuchar.

Vance Boelter, who was arrested early Monday, is accused of shooting and wounding the Hoffmans and then shooting and killing Minnesota state Rep. Melissa Hortman and her husband, Mark.

After the Hoffmans were shot, officers proactively went to Hortman's house in the nearby town of Brooklyn Park, authorities said.

The responding officers saw Boelter's SUV in the Hortman's driveway with emergency lights flashing and Boelter standing in front of the house a few feet from the door, Thompson said.

When Boelter saw the officers, he allegedly started firing and rushed into the house, killing Hortman and her husband, Thompson said.

"We are devastated by the loss of Melissa and Mark, and our hearts go out to all those who knew and loved them both," the Hoffmans said in their statement.

"There is never a place for senseless political violence and loss of life," they said.

The Hoffmans also said they had "deep and profound" gratitude for the work of law enforcement officials who tracked down the suspect.

Boelter faces federal and state charges and is due in court on Monday.

Two other lawmakers were spared in the Saturday morning shootings, Thompson said. One was on vacation and not home when Boelter allegedly arrived, while a police officer responding to check on another lawmaker's home happened upon Boelter's vehicle and he drove off.

A motive is unclear, Thompson said.

ABC News' Darren Rynolds and Jessica Gorman contributed to this report.