Customers pay nearly 10 shekels ($2.65) per hour to play with the cats, which Maabad said covers their food as well as costly vet bills.
Visiting the cafe, Manar Abu Samra said it was reasonably priced and she had told her friends and sisters about the new venture.
"The quality of cats here is beautiful and sweet, so it's a wonderful idea -- despite its strangeness to society -- and when I heard about it I felt happy," she said.
Pets are rare in Gaza although cats are ever-present, particularly around the port or fishmongers as they try to paw away some scraps.
Maabad said she had cats at home to bring to Meow, while others came from friends.
"The idea of the cafe was to have something nice with a cup of coffee," she said.
"A cat that you play with and it makes you smile and forget the pressures of life."
