Lomu, 40, died on Wednesday at his home in Auckland. He had been battling a rare kidney condition since 1995.
"We wish to thank all who have expressed their sympathies for our family at this incredibly difficult time," Mervyn Quirk, Lomu’s father-in-law, said in a statement.
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"We know that many people are mourning a very special individual.
"We are truly touched by the outpouring of love for Jonah and the support for our family.”
Lomu played 63 times for the All Blacks during a career that was disrupted by his health battles, scoring 37 tries in the process.
Quirk said that the family were still in the process of finalising funeral arrangements.
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