Under the proposed settlement, still subject to court approval, Matthew Mauser stands to receive $1.25 million and siblings J.J. Altobelli and Alexis Altobelli would share another $1.25 million.
The settlement is separate from a similiar suit filed by Vanessa Bryant, which remains pending.
Mauser's wife, Christine, and the Altobellis' mother, father and younger sister - Keri, John and Alyssa - died in the Jan. 26, 2020, crash that also killed Bryant, his daughter Gianna and three others.
A report from the county counsel recommended the settlement to "avoid further litigation costs."
The county has already spent approximately $1,292,592 in fees and legal costs in the two cases, according to the board letter.
The five-member board approved the payment without comment.
The Altobellis and Matthew Mauser filed separate federal lawsuits against the county alleging they suffered emotional distress after a Los Angeles Times investigation revealed that L.A. County sheriff's deputies and L.A. County firefighters took and shared crash scene photos for purposes outside law enforcement.
"We believe these proposed settlements of $1.25 million are reasonable and fair to all concerned," attorney Skip Miller of Miller Barondess, who represented the county, told The Times.
"We are pleased that the Mauser and Altobelli families, who as private citizens suffered the same grief and loss as others, will be able to move forward after these settlements, which are subject to final approval by the Board of Supervisors. We also hope that eventually the other families will be able to do the same.
Bryant's widow Vanessa sued Los Angeles County last year, alleging that she and her family suffered severe emotional distress after discovering that sheriff's deputies snapped and shared gruesome photos of the helicopter crash scene.
Judge rules Vanessa Bryant won't have to undergo psychiatrict evaluation in lawsuit over photos
The legal fight between Vanessa Bryant and the county intensified when county lawyers sought to have Bryant undergo a psychiatric examination in advance of the trial scheduled for February 2022.
Lawyers argued in court papers that she cannot have severe distress from crash photos she and the public have never seen.
On Monday, however, U.S. Magistrate Judge Charles Eick denied the county's motion seeking the exam, deeming the request "untimely." He denied the motion "without prejudice," meaning county attorneys could make the request again depending how the case proceeds.
Bryant won a separate legal victory in the case last month when L.A. County Sheriff Alex Villanueva and Fire Chief Daryl Osby were ordered to be deposed in the case.
Eick said Villanueva and Osby appear to have "unique first-hand, non-repetitive knowledge" relative to the case. The judge limited each deposition to four hours.
The family of Sarah Chester and her 13-year-old daughter Payton, who also died in the crash, filed their own suit against the county in December, saying they were humiliated and distraught when they realized that personnel trusted to secure the site had photographed remains. That family is not part of the settlement approved Tuesday.