The Ryans called his life a “fitting tribute to the best ideals of republicanism, as was the manner of his laying to rest”.
“Alan would never have apologised for his beliefs while he was alive and we, his family, have no intention of doing so on his behalf now he is dead,” they said.
They called on the gardaí to fully investigate his murder, and described him as a “cherished member of our family”.
“Our family is deeply upset by the inaction of members of An Garda Síochána at the scene of the shooting immediately after Alan was attacked. Gardaí stood casually by while photographers took pictures of Alan receiving emergency treatment,” they said in a statement issued to Prime Time.
“We cannot recall another occasion when the dignity of a murder victim was violated so publicly, nor of the State’s law enforcement officers permitting it to happen with such obvious disinterest.”
It is understood a hitman from Dublin’s northside is a possible suspect for the murder of the 32-year-old, pictured right.
Mr Ryan was shot near his home on Grange Abbey Rd, Clongriffin, Dublin, at 3.30pm on Sept 3.
He was with two members of the 32 County Soverei-gnty Movement, a dissident Republican political party, when a masked gunman opened fire from behind.
Ryan was hit several times and fell to the ground. His killer then fired a number of shots into his head at close range.
Justice Minister Alan Shatter last night told the Irish Examiner he “condemned” the murder, and that of Robert Sheehan in Co Clare on the same day.
He said gardaí were doing “everything in their power” to bring the perpetrators to justice and said gardaí had his full support.