The most common kinds of worm affecting cats and kittens are Tapeworm, Hookworm and Roundworm. Tapeworms are passed on when a cat swallows an infected flea, rodent or lizard. Hookworms are passed on by eating contaminated grass, soil or water. Infected cats can pass roundworm to their kittens before they are born, or through the milk. All of these worms can cause disease in kittens. Tapeworms and Roundworms can be passed on to humans. Roundworms are of particular concern to young children. In order to protect yourself, your family and the health and wellbeing of your pets you should worm your cat regularly and deworm the kittens once they are born. Adult cats should be wormed every 3 months. Kittens from 6-16weeks of age should be wormed every 3 weeks.
It depends on what kind of worms.the two that can are tapeworms and heart worms.but your cat probably just has normal worms.
Your cats worms will also be transmitted to the babies but you should have a check up with the kittens when there born.