The shelter posted photos of some of the animals and explained each one of them needs a loving home to save their life.
Volunteers say they are already four times over capacity at the shelter and are asking for the public to adopt the animals so they can avoid having them euthanized.
On Saturday, dozens of people lined up out the door to the shelter, ready meet the puppies. We're told at least 90 pets were adopted or fostered that day.
Photos: Young pups at Harris Co. Animal Shelter as of July 7, 2017
According to the shelter, a total of 110 animals were brought in just on Thursday.
Volunteers said if families can't adopt, fostering a pet for a few weeks is always an option. Fostered animals need a small window of time out of the shelter before they can be transported to other states where adoptive families are waiting for them.
Anyone interested in fostering a pet from the shelter should email firstname.lastname@example.org.
Anyone interested in adopting one of the puppies or any other animal at the shelter can visit the shelter at 612 Canino Road in Houston during adoption hours: Monday through Friday 1 p.m. - 5:30 p.m. and Saturday and Sunday 11 a.m. until 4 p.m.