Two Muslim organizations are moving forward with plans to build a giant mosque near Ground Zero.

A 13-story building damaged by debris on 9/11 will be refurbished to become The "Cordoba House" mosque.

However, families of some of those killed in the World Trade Center attacks don't approve, calling the plan "despicable."

"I don't like it," said Evelyn Pettigano, who lost a sister in the attacks. "I'm not prejudiced. It's too close to the area where our family members were murdered."

Members of the American Society for Muslim Advancement and the Cordoba Initiative came up with the plan. They said the project is meant to improve relations between the West and Muslims.

"We want to create a platform by which the voices of the mainstream and silent majority of Muslims will be amplified. A center of this scale and magnitude will do that," ASMA executive director Daisy Khan said. "We feel it's an obligation as Muslims and Americans to be part of the rebuilding of downtown Manhattan."

The damaged building is a former Burlington Coat Factory store.