He was 71.
The Troggs were known for their hits, "Wild Thing," "With a Girl Like You," "I Can't Control Myself" and "Love is All Around," which Wet Wet Wet covered in the 1990s and which was featured on the soundtrack of the romantic comedy "Four Weddings and a Funeral."
The BBC said Presley retired a year ago after he was diagnosed with lung cancer and had since suffered several strokes.
"As you all know, I was taken ill whilst doing a gig in Germany in December. During my stay in hospital, tests showed that, in fact, I have lung cancer," Presley wrote on his website in January 2012.
"I am receiving chemotherapy treatment and at the moment not feeling too bad. However, I've had to call time on The Troggs and retire. I would like to take this opportunity to thank you all for the cards and calls and for your love, loyalty and support over the years."