Robins has left Coventry City to manage the Terriers after just five months in charge at the Ricoh Arena but the 43-year-old has insisted that moving to the Yorkshire club was the right move for him.
Robins told reporters: "I got a call to say that Huddersfield were interested, and I expressed an interest to speak with them.
"Things unfolded from there and I got permission to speak with them on Tuesday night and the move was concluded yesterday.
"Nigel Clibbens has already alluded to the fact that there was a synergy between what the club want and the way that I work and once that became clear, it became a good, considered decision."
Robins arrives at Huddersfield with the club in 18th place in the league table.