The Foyle MP said that news that the gun used in the murder has been found is positive and has renewed his call for anyone with information to come forward.
Said Mr Eastwood: “Progress in the police investigation into the murder of Lyra McKee is very welcome news today.
“The recovery of the gun used in the murder is significant and I hope that it will lead to further developments.
“Those responsible for taking the life of a young journalist in Derry need to understand that there was nothing patriotic about it.
“There is no honour to be found in the murder of someone with so much to contribute to our city and our island.
“They have set themselves against the people of Derry and the people of Ireland. They must face justice.
“I am renewing my appeal to the people of our city.
“If you have any information about Lyra’s murder, no matter how small, and you haven’t come forward yet, now is the moment.
“We all have a part to play in ending the grip of violent men on our communities,” added the SDLP leader.