The former Malaga coach revealed that he was pleased with the three points and clean sheet but feels his side need to do more in attack if they are to cause better sides problems
Goals from Alvaro Negredo and Yaya Toure secured three valuable points for the 2012 Premier League Champions as they bounced back from a shock 3-2 defeat to Cardiff City last Sunday.
|MANCHESTER CITY LATEST
|2/1||Manchester City are 2/1 with Bet365 to win the Premier League
"The most important thing is the points. In pre-season, we worked on different things but in the Premier League the most important thing is the three points, so in that sense I am happy with the win," he told reporters.
"But, of course, we must improve. We had too many difficulties getting a sight of the Hull goal. We lacked the movement that we need to be a dangerous team."
Pellegrini is under no illusions as to how difficult the Premier League can be and he admitted that last weekend's disappointment in the Welsh capital may have had a bearing on his team's display.
"The defeat against Cardiff could be one of the reasons that in the first half we didn't have the belief we could play but I think there are other important things.
"Every match in the Premier League is tough and you must be at 100% to win every match. Hull are a good team and, though I am concerned, 2-0 is still a good score."
The 59-year-old also revealed that he is expecting progress in a deal to bring Atletico Madrid defender Martin Demichelis to the club, while he was pleased to achieve a clean sheet after his defence - and goalkeeper Joe Hart in particular - were singled out for criticism during the reverse against Cardiff.
He added: "It [the clean sheet] is very important for the whole team, for Joe Hart and for our defenders. They weren't very confident after the last game so it was important for them."