Luvhengo joined TTM at the start of the season after the club bought the National First Division status of Cape Town-based Milano FC.
However, he becomes the second member of the club's technical team to resign after manager Joel Masutha left late last year to join Limpopo neighbours Black Leopards.
"The owner of the club is a very good person but unfortunately he is surrounded by people who want to shine for themselves at the expense of the club," says Luvhengo.
"The club has huge potential to gain PSL promotion but there are people in the team killing that dream."
TTM are seventh on the NFD log with 24 points from 16 games, and next visit fifth-placed Witbank Spurs at Puma Stadium in eMalahleni on Saturday.