The son of Remus and Nymphadora Lupin, Teddy is a Metamorphmagus like his mother (DH25, BLC). He was named for his grandfather Ted Tonks, and is the godson of Harry Potter (DH25). Orphaned in the Battle of Hogwarts (DH33) and raised by his grandmother, Andromeda Tonks, though he often stops by Harry and Ginny Potter’s for dinner. Like his mother, he was sorted into Hufflepuff at Hogwarts (JKR:Tw). He later became romantically involved with Bill and Fleur Weasley’s daughter, Victoire (DH/e). In his final year at Hogwarts, he was made Head Boy (JKR:Tw).
Other canon notes and references
Have just heard that James S Potter has been Sorted (to nobody's surprise) into Gryffindor. Teddy Lupin (Head Boy, Hufflepuff) disappointed.
— J.K. Rowling (@jk_rowling) September 1, 2015
Rowling on leaving Teddy Lupin an orphan at the end of the series:
"I very consciously wanted to show what is one of the great evils of war, which is that totally innocent people are slaughtered. Another great evil of war is that children lose their families." (NO)