The company will feature in the top 25 when the full list is revealed at the Best Companies awards celebration in London tonight (25 Jan).
The Sunday Times praised DPD's company values and approach to customer service, saying: "DPD understands it needs to retain and develop the most customer centric people in their industry and they've wow'ed us with how they've achieved it."
Dwain McDonald, DPD's CEO, said: "What we've achieved in the last year is quite extraordinary and way beyond my expectations.
“The Queen's Award and now this have just moved us into a different league altogether. A lot of people have recognised the fact that we have been growing rapidly.
“But it is just as important to me that we're growing the right way - by investing in our network, innovating with market leading technology and by nurturing and developing our people. To make the Sunday Times ‘best places to work' list is a fantastic validation of this ethos.
"As a business we aim to put people at the heart of everything we do, so we do like to think that we have the most motivated staff in our industry.
“However, it is results like this that prove it, and it's all the more precious to us because it's our people saying DPD is a great place to work."