King Charles III and Queen Camilla met Wednesday with dozens of families who lost loved ones in the 9/11 terrorist attacks — hugging the relatives in a tender moment that showed off their “down to earth” sides to regular New Yorkers.

The British monarch and his wife, during their visit to the 9/11 Memorial and Museum , asked the grieving family members to recall their favorite memories of their slain kin as they made their way down a packed procession line.

“Anyone who thinks that the King and the Queen are not down to earth — nothing is further from the truth,” said Anthoula Katsimatides, whose brother, John, was working as a broker in the North Tower on Sept. 11, 2001.

“I showed them my picture of John and Camilla said, ‘Oh, he’s quite a looker!” she recalled to The Post after.

Katsimatides asked Camilla for a hug during the receiving line. via REUTERS

Anthoula Katsimatides showed a picture of her brother, John, to the royal couple.…