The 51-year-old was part of the seven-strong family group The Osmonds, one of the biggest bands of that decade.
Osmond told the BBC's Sunday Morning Live yesterday that family values had protected the siblings from many of the pressures that modern pop singers face today.
He said: "I think nowadays we reward bad behaviour because it's good business for the media.
"I think if you really look at maybe Miley Cyrus and the core of her and the core of Justin Bieber, you see some good kids just trying to figure it out to stay on top because there's such pressure when you're up there.
"These entourages, you're supporting everybody and you feel so much pressure that you have to almost shock people to stay in the mainstream."