Jacob Blake's three sons were in the car when police shot their father as he opened the door to the driver's seat Sunday, attorneys said.
One of the children was celebrating his eighth birthday at the time, according to attorney Ben Crump.
"These little boys, these three little boys are going to have psychological problems for the rest of their lives," Crump said.
Blake's father said the children "are stuck right now."
"All my grandson asks is, 'Why did police shoot my daddy in the back?'" said Jacob Blake Sr. "How would you feel if your white son walked up to you and asked, 'Why did police shoot my daddy in the back?' You would have no clue."
Family members said they plan to seek out medical experts to help the children deal with the traumatic experience.
Jacob Blake Jr. underwent surgery Tuesday, one of what his attorneys say will be many procedures he will be forced to undergo after being shot several times by Kenosha police over the weekend.
"He's in surgery now and it won't be his last surgery," said Attorney Patrick Salvi Jr., of Chicago.
Salvi Jr. said bullets struck Blake's spinal cord, resulted in the near-complete removal of his colon and small intestine and damaged his kidney and liver.
Blake, according to family and attorneys, was paralyzed by the shooting but it remains unclear if that will be permanent.
"Because those bullets severed his spinal cord and shattered some of his vertebrae, it is going to take a miracle... for Jacob Blake Jr. to ever walk again," Crump said.
"We are going to hope and pray for as good of a recovery as we can possibly get," Salvi Jr. said. "That type of rehabilitation and recovery, it's not free."
Salvi Jr. said he plans to file a civil lawsuit in the case.
Blake's case has garnered national attention, with political leaders calling for a full investigation of the incident.
Police said they were responding to a call about a domestic dispute when they encountered Blake on Sunday. They did not say whether Blake was armed or why police opened fire, they released no details on the dispute, and they did not immediately disclose the race of the three officers at the scene.
Video posted on social media appears to show three officers shouting and pointing their weapons at Blake as he walked around the front of a parked vehicle. When he opened the door and leaned inside, an officer grabbed his shirt and then fired into the car.
At least seven shots can be heard on the graphic video.
The man who said he made the cellphone video, 22-year-old Raysean White, said he saw Blake scuffling with three officers and heard them yell, “Drop the knife! Drop the knife!" before the gunfire erupted. He said he didn't see a knife in Blake's hands.
Wisconsin's governor said he had seen no information to suggest Blake had a knife or other weapon, but the case is still being investigated by the state Justice Department.
The officers were placed on administrative leave, which is standard practice in a shooting by police. Authorities released no details about the officers and did not immediately respond to requests for their service records.
Crump said "the facts haven't been confirmed yet."
"What we are demanding is transparency," he said. "If there's dashcam video, we want you all to get it because this family has already asked for answers and gotten none."
Blake was immediately rushed to the hospital, and violent unrest followed, with vehicles set ablaze in multiple locations and windows smashed at businesses in downtown Kenosha.
Anger over the shooting of Blake spilled into the streets of Kenosha for a second night Monday, with police again firing tear gas at hundreds of protesters who defied a curfew, threw bottles and shot fireworks at law enforcement guarding the courthouse.
Curfews have also been in place in Kenosha for two consecutive nights. Wisconsin Gov. Tony Evers also declared a state of emergency and increased the presence of the Wisconsin National Guard on Tuesday.
“We cannot forget the reason why these protests began, and what we have seen play out over the last two nights and many nights this year is the pain, anguish, and exhaustion of being Black in our state and country," Evers said in a statement. "But as I said [Monday], and as I’ll reiterate today, everyone should be able to exercise their fundamental right—whether a protester or member of the press—peacefully and safely. We cannot allow the cycle of systemic racism and injustice to continue. We also cannot continue going down this path of damage and destruction. We are assessing the damage to state property and will be increasing the presence of the Wisconsin National Guard to ensure individuals can exercise their right safely, protect state buildings and critical infrastructure, and support first responders and fire fighters."
Jacob Blake's mother issued an impassioned plea for people across the country to "take a moment and examine your heart," saying her son would be "unpleased" by the unrest sparked from his shooting by police over the weekend.
"Citizens, police officers, firemen, clergy, politicians: do Jacob justice on this level and examine your hearts," Julia Jackson said Tuesday, days after her son was shot multiple times in the back by Kenosha police officers. "We need healing. As I pray for my son's healing - physically, emotionally and spiritually - I also have been praying even before this for the healing of our country."
Jackson pleaded with all races and said she was praying for "all police officers and their families."
"Let's use our hearts, our love and our intelligence to work together to show the rest of the world how humans are supposed to treat each other," Jackson said.