The visitors amassed an 18-0 lead in the second half thanks to tries from Aaron Murphy, Ukuma Ta'ai and Eorl Crabtree, as well as six points from the boot of Danny Brough.
But following efforts from Broncos pair James Woodburn-Hall and Alex Hurst, Huddersfield had to wait until a late Dale Ferguson try to secure their seventh straight win - another against Wakefield on September 1 would seal top spot.
"The main aim coming down here was to come and get two points and it's mission accomplished," said Anderson.
"I thought London caused us a hell of a lot of problems both offensively and defensively and they forced us to play.
"I thought patience, pure determination and hard work got us the win in the end. It was a scrappy game.
"I thought we just did enough personally. We have a break now, but we have to improve.
"Two points is two points isn't it? It doesn't matter how you earn them. It think what was credit to the group is that they stuck together."
Scrum-half Brough was helped from the field late on holding his shoulder, an ominous sign with the play-offs on the horizon.
But Broncos coach Tony Rea admits he was proud of his players' efforts, despite falling to their eighth successive defeat.
"It was a really good effort there by them," he said.
"We were playing against a very good side, they were just so hard to get through.
"They are a good strong side, they haven't fluked their way to the top, they are up there for a reason.
"You usually get there by defending well and they did that. We tried things but we just couldn't get there. But it didn't break us, we just tried to find the right to get into the game.
"We just had no bench left in the second half, we were down to empty.
"I was a bit disappointed with the last try, we could have kept that one out."