The Dutch coach joins Philippe Clement’s backroom team alongside Stephan Van Der Hayden, Alex Rae, Brian Gilmour and Colin Stewart.
It’s understood Ulderink’s arrival will not impact the roles of the existing members of the Ibrox staff.
The Dutch coach most recently worked as assistant coach at Royal Antwerp having previously worked at FC Twente, Ajax and Reading.
Philippe Clement: “I am delighted to have Andries join our backroom staff ahead of the new season.
“He is an experienced coach, with a lot of knowledge from his time working across Europe. We had some really positive conversations over the past few weeks, and I am really looking…
On his appointment, Ulderink said: “I am really excited to join Rangers as assistant manager and it is a challenge I am looking forward to.
“It is a great club, with a lot of history, and with a lot of Dutch connections so that was always there in my mind. In Scotland, the football intensity is very strong, especially at Rangers, so that was important for me too.
“I spoke with the manager about football, his vision, and his ambitions and he told me a little bit about the staff, about the club and it was exciting, I am really happy to be here.”
Clement added: “I am delighted to have Andries join our backroom staff ahead of the new season.
“He is an experienced coach, with a lot of knowledge from his time working across Europe. We had some really positive conversations over the past few weeks, and I am really looking forward to working with him.
“It is important for me to have a strong group of coaches supporting me, and the addition of Andries will complement the team we already have in the building ahead of another huge season.”