He faced down a murderous terrorist armed only with a shopping trolley, now Melbourne's "homeless hero" has handed himself in to face up to his own, alleged, crimes.

Michael Rogers, dubbed the "Trolley Man" after he tried to ram a shopping trolley into a knife wielding Hassan Khalif Shire Ali in last Friday Bourke Street attack, handed himself into police on Friday night.

Michael Rogers, 46, drew widespread praise and the nickname 'Trolley Man" for pushing the trolley repeatedly at Hassan Khalif Shire Ali as the 30-year-old man attempted to stab police.

Much-loved Pellegrini's Espresso Bar part-owner Sisto Malaspina was killed in the attack and two other men hospitalised.

In the days following the attack Mr Rogers was mobbed by strangers wanting selfies, hunted by the media and lionised in tributes at the site of the tragedy.