David Clark, 35, an Australian national who lived in Scunthorpe, Lincolnshire was struck while crossing Borough High Street at around 12.30am on January 7.
He died at the scene, leaving behind his seven-month old child, son, brother and wife.
A fundraiser has already raised thousands of pounds to support his family as an investigation into the incident by the Independent Office for Police Conduct (IOPC) continues.
In a statement reported by the BBC, Clark’s wife said: “Our family is devastated by the sudden and tragic loss of my husband, David.
“My husband David was not a headline, a statistic, or a passing news story.
“He was a loving husband, a devoted father to our baby daughter, a son, a brother and a deeply cherished friend. His death has left a profound and lasting void in our lives.
“We ask that our privacy, and the privacy of our family and friends, be respected.
“Our focus is on caring for our daughter, supporting one another and honouring David’s life away from public attention.”
Two Met Police vehicles were driving south on Borough High Street to an emergency call with sirens and blue lights activated, according to an IOPC investigation.
As the driver of the first police vehicle passed through the junction at Great Suffolk Street and Trinity Street, David was hit.
A post-mortem has been carried out and a date for the inquest is yet to be set.
A fundraiser has been launched by a friend of the family “to help those who he has left behind”.
Teresa Samuels started the fund, which has raised over £14,700.
She wrote: “Our lovely friend’s husband has been killed in a tragic accident yesterday leaving a wife and a seven-month-old at home.
“With no family on this side of the world, this page is to help those who he has left behind.
“He was supporting his family alone while his wife was taking care of their baby.
“This fund is to help her look after his little girl as well.
“This money will help cover general bills and travel costs – please help us support this beautiful family.”
One person alone gave £649 in a single donation, while another contributed £500 to help.
IOPC Director Amanda Rowe said: “Given a member of the public has died in an incident involving police, it’s important that an independent investigation is carried out to establish the full circumstances.
“Our investigation is in its early stages and the officers involved are currently being treated as witnesses.”
