Speaking on the courthouse steps on behalf of the family, Aamir's sister, Umbareen Siddiqi, 33, paid tribute to her murdered brother.
"Today's guilty verdict is the right one and as a family we are both delighted and relieved," she said.
"On the 11th of April 2010, a house which was previously filled with love and laughter was brutally destroyed by the callous, vicious attack on our parents and our brother.
"The world has moved on in almost three years since the murder but for us the attack is as fresh as if it happened yesterday."
More top news
Protesters force cancellation of controversial 'human zoo' show which has been dubbed racist and offensive.
The Silverton family are celebrating the birth of the first baby girl in a century, breaking a streak of 21 boys over four generations.
The 100 leaders did not agree on concrete proposals, but the meeting has raised hopes for concrete international agreement next December.