The Ex-England captain wants to protect players from suffering from brain diseases later in life.
The 62-year-old believes heading should be phased out of the game completely, insisting it is "something we can do without".
"I think [heading] is something that has been strong, particularly in Britain with the way that we used to play, but not so much now," the former Ipswich and Rangers defender told the BBC's The Sports Desk podcast.
"It would rule out the trauma of heading a football particularly at pace - brain trauma, because your brain is going to rattle against your skull. You're looking at aerial collisions where you know you have no real control."
Previous research has shown that ex-footballers are three and a half times more likely to die of dementia than the general population.
The Football Association recently recommended that a maximum of "10 higher-force headers" are carried out in any training week to protect player welfare. The practice has been banned in under-11s sessions in the UK and is restricted among other age groups.
"I think it's something that we can do without."
Butcher, who played as a center-back for Ipswich and Rangers, famously wounded his head playing for England against Sweden in 1989 - leaving him covered in blood.