Nucleus
DNA can be found inside the nucleus of every cell, apart from red blood cells. It's tightly wound and spread throughout the 46 chromosomes. One set of 23 chromosomes is inherited from each parent. Inside the chromosomes the DNA exists as genes. A gene is a sequence of DNA, that by and large, though there are exceptions, codes for one protein. There is large volume of so-called 'junk DNA' that apparently serves no purpose, although there are bodies of work that are starting to show otherwise.
Mitochondria
These are tiny organelles that are the energy factories of the cell. They contain a small amount of DNA that is distinct from nuclear DNA. For the most part mitochondrial DNA is inherited from the mother in sexually reproducing species.