It follows an announcement in July 2015 that such a memorial will be created in the wake of a terrorist strike at a beach resort in Tunisia which killed 38 people, including 30 British tourists.
UK Foreign Office minister for counter terrorism Tobias Ellwood said: "It is a sad fact thatwe live in very difficult and dangerous times. Sadly, there are victims of terrorism whose families do not have a place where they can grieve".
"It is therefore appropriate that we have a national memorial for those caught up in terrorism abroad. These people must never be forgotten and I encourageanyone who has been affected to have their say," Ellwood said.
The views received will help with plans for the memorial, where it should be located and the form it should take so that the memorial is a "timeless, meaningful and fitting tribute to the loved ones who have been lost through acts of terrorism overseas", the Foreign Office said.
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The possible locations to choose from include Westminster in central London and the National Memorial Arboretum in Staffordshire in the West Midlands region of England.
Mike Haines, brother of DavidHaines who was murdered by Islamic State (ISIS) terrorists, called on others affected to come together and find "common ground".