The Memorial opened last week for families, first responders, and survivors of the terrorist attacks.
After their visit, several expressed concern over the gift shop in the somber museum.
"To me, it’s the crassest, most insensitive thing to have a commercial enterprise at the place where my son died," Diane Horning told The New York Post.
Horning’s 26-year-old son was killed in the attack, his remains were never found. Thousands of unidentified remains were moved to a storage area inside the museum building.
Among the items drawing ire were key chains, mugs, mouse pads, and a "Darkness Hoodie" emblazoned with the Twin Towers.
There were also "Survivor Tree" earrings, and silk scarves printed with 1986 photos of the Manhattan skyline.
"Here is essentially our tomb of the unknown. To sell baubles I find quite shocking and repugnant," Horning continued.
"I think it's a money-making venture to support inflated salaries, and they're willing to do it over my son’s dead body."
Some say the families are being too sensitive. Gothamist points out there is a gift shop at the Holocaust Museum.
Operators of the museum say the gift shop will help offset the cost of keeping the Memorial and Museum operating.