The home side, without 12-goal top scorer James Vaughan with an ankle injury, had no-one to finish off the host of chances they created.
Adkins praised his players and said: "We knew this would be a challenging fixture and it's good to come away with the three points.
"Billy Sharp scored the only goal but we could have scored three or four. We were very offensive in our mindset, we saw the game out and won quite comfortably.
"We have a really talented group of players from our goalkeeper and two centre-backs to Jobi McAnuff in midfield and Pavel Pogrebnyak and Billy Sharp up front.
"We kept a clean sheet and showed good resolve and we utilised the whole squad.
"Huddersfield are a good footballing side and we know what a good job Mark Robins is doing.
"There were two good teams on the pitch but our victory was well deserved and it's another three points on the road."
Adkins was impressed with young keeper Alex McCarthy and believes he could force himself into England's World Cup squad.
He said: "In my mind he is a top-four goalkeeper and if he stays with us for another year and plays regular football anything can happen.
"He is a confident lad, his shot stopping, command of his box and catching is first class. He can go to the top."