The AHA said that while minimum unit pricing would help protect future generations it was not a "silver bullet".
There should be a 40p minimum alcohol unit price in England and Wales to stop binge-drinking on cheap drinks, the Government's alcohol strategy suggests.
Scotland has already agreed a 50p per unit rate, due to take effect next April, but subject to a legal challenge by the scheme's opponents.
More top news
Sixteen people were injured when a train crashed into a railway station buffer on Monday.
"Our ability to pre-empt or respond to threats will be eroded if we don't keep up with our adversaries."
"You are one of the silence breakers and we all owe you a debt of gratitude."