The common thing that both plant and animal cells have is the nucleus. The nucleus is a membrane-bound organelle that contains the genetic material of the cell, in the form of DNA. It is often called the "control center" of the cell because it regulates all of the cell's activities.
Both plant and animal cells have a nucleus, although there are some differences between the two. For example, plant cells have a cell wall and chloroplasts, which animal cells do not have. Animal cells, on the other hand, have centrioles, which plant cells do not have.
In summary, while there are many differences between plant and animal cells, the one thing they have in common is the nucleus.