The Tigers took the win courtesy of Robbie Brady's penalty after 12 minutes, after the Irishman had gone down following a challenge from Joey O'Brien.
West Ham boss Sam Allardyce was livid with that decision, as well as one not to give his side a spot-kick for a handball against Jake Livermore - but Bruce insists the better side won in Saturday's Premier League encounter at the KC Stadium.
"I could not be more pleased, the big decisions have maybe gone our way today but that does not mask the fact that we have arguably created the better chances," he said.
"Their goalkeeper has had to make more saves than mine, we have hit the post and the bar, but quite rightly the talking point is going to be on two big decisions which went our way.
"I have seen the alleged handball from Jake Livermore from four or five angles but you can't see that is deliberate and from where the referee is stood, you can't give it.
"The penalty, I can honestly say I haven't seen it yet, whether it is soft... maybe we have got the big decisions but as I said, the better side won on the day.
"Defensively, we had to make sure we were big and strong enough. It is always difficult to change a team after Newcastle but I had to bring Figueroa back and that meant Elmohamady pushing up and Stephen Quinn can be aggrieved he didnt play today."
Bruce hailed his defence after keeping a clean sheet, adding: "It is okay playing nice football which we try and play and encourage, but you have to have a resolve.
"Three of them - Davies, Figueroa and the goalkeeper [Allan McGregor] - have played a huge part and I am delighted they have settled so quickly. We have had six or seven changes from the Championship team and even the ones here are making a huge contribution."
Bruce did reveal that match-winner Robbie Brady has a stomach problem which may soon need an operation.
"He is playing with a big of a stomach problem at the moment which is causing a concern," he revealed.
"So considering he has this problem, it is admirable he keeps wanting to play but we might have to look at it and see how long can he go without surgery."
Bruce also picked out record signing Tom Huddlestone, who was again excellent in midfield.
"He is our record signing for the club and he carries it very well," he opined.
"He is just a wonderful footballer who makes the game look easy and I think he can only get better as he has not been a regular for years.
"Being a big fish in a smaller pond is suiting him, and people are purring at him every week. I don't think I have seen someone kick it so well with both feet and the balance he has, he just makes it easy and he has been a terrific signing."