Final answer:
The two kinds of strands required for DNA replication are the continuous leading strand and the discontinuous lagging strand synthesized in Okazaki fragments, with both eventually forming identical new DNA molecules.
Step-by-step explanation:
The two kinds of strands needed for DNA replication are known as the leading strand and the lagging strand. During DNA replication, each strand of the original double helix serves as a template for the formation of a new complementary strand. The leading strand is synthesized continuously towards the replication fork, while the lagging strand is synthesized discontinuously in the opposite direction in short segments called Okazaki fragments. These fragments are later joined together to form a continuous strand by an enzyme called DNA ligase. This process results in the formation of two identical DNA molecules, each consisting of one old and one new strand, following the semiconservative model of DNA replication.