The organization said the fire occurred at the Park at Greatstone apartments, on Weatherly Dr.
"Residents of 16 occupied units – approximately 30 people – find themselves suddenly homeless," a release said. "Volunteers will be meeting one-on-one with affected families to determine immediate emergency needs and ensure that everyone has the resources needed for temporary lodging, food, clothing, personal care items and other essentials."
The Red Cross said caseworkers would work with families in the days ahead through the recovery process.
"All Red Cross disaster assistance is free, made possible by generous donations from the community. To support the Red Cross mission, visit www.redcross.org/donate or call 1-800-RedCross," the organization's release said.