The midfielder lost his 10-year-old cousin Jon-Paul Gilhooley in the 1989 tragedy, which claimed the lives of 96 Liverpool fans at the Hillsborough ground during an FA Cup semi-final against Nottingham Forest.
The England skipper has opted to make the donation ahead of tonight's Merseyside derby against local rivals Everton at Anfield.
"It's to send a message of togetherness out as well," BBC News quotes Gerrard as saying.
"I know there's a bit of banter in the stands when the game's going on but, for me, the Everton fans have been superb since Hillsborough.
"I think it's good timing to send this out now, just before the Merseyside derby, but also there's a huge thank you from not just myself, but from all the Liverpudlians and all the help and support the Everton fans have given us with this."
Fresh inquests into the disaster are due to begin in March after the original "accidental" verdict was dismissed.