He is accused of deporting more than one-hundred-and-thirty thousand European Jews to their death during the Second World War.
If he is, he would be eighty-seven.
Believed to have gone into hiding in Syria, Brunner was last sighted seven years ago. He has been tried once before, in his absence, in the 1950s, and was sentenced to death.
The latest charges concern the death of twenty-four thousand French Jews during 1943 and 1944.