41-year-old Basharat Ali died at the crash scene in Erdington at Birmingham Trade Park last Thursday, June 16.
The lorry driver and a witness have been treated for shock.
Mr Ali was recognized as Bash and worked in the taxi industry.
A number of tributes were posted the Mail’s Facebook page and on an online memorial page that was set up in his memory.
One of his children posted a touching picture on Sunday displaying a pair of socks saying: “Dad’s socks” and the message: “Daddy’s present”.
A previous message read: “My first Father’s Day without you daddy, your presents waiting for you right here in my hands”.
Others recalled Mr Ali as a kindhearted, smiling man who would always go out of his way to help others.
Shokey Ali said he was a “very nice person with a bubbly personality who always had a beautiful smile”.
Pablo Shoky wrote: “I’ve known Bash since school junior and he proved to be humble, honest, funny, hilarious, trustworthy and great.”
On the Mail’s Facebook page, Becky E Wade remembered how Mr Ali helped as she was frequently rushed to hospital before the early birth of her twins.
She said: “RIP Bash.
“You helped us with our twin boys when they were prematurely born – rushed us into hospital about 15 or 20 times.
“So many nights we had to phone for a taxi from Regency and every time Bash would phone to do it himself.
“Rest in peace, may all the angels watch over you.”
And Samantha Mclaren posted: “RIP, such a sad and tragic loss thoughts go to all your family and friends.
“I remember Bash from many years ago.
“(He was) always smiling and friendly.
“He took me on many a journey in his taxis.”