The Magpies manager praised his side's resilience but criticised their profligate front line, while Sam Allardyce lauded West Ham for coming away from St James' with a clean sheet
The Magpies had 16 shots in their first game at St James' Park this season - 14 of which were off target - and were wasteful despite their heavy pressure and dominance of possession.
Pardew, who watched his side get mauled 4-0 by Manchester City on Monday, was happy to see them keep a clean sheet but stressed the need to bring in new players to boost the Tyneside club's attacking quality and options.
"I have to look at us today and say that we looked, as a defensive unit, more disciplined and more cohesive," he told reporters after the match. "I thought the back four were terrific with the goalie.
"It was in the offensive area of the pitch that we needed a little bit more, more options on the bench. That probably swayed the result.
"I walk out of here tonight fairly happy that we've put in a professional performance, if not a performance that we really want.
"Defensively, we couldn't have put a better performance in. Offensively, we know we have to do better."
The ex-West Ham boss also commented on Arsenal and Paris Saint-Germain target Yohan Cabaye, who was once again left out of the squad as interest from other clubs in the French midfielder grows.
"We need to resolve the situation," Pardew added. "We need to get ourselves in a position where if he stays - great. If he doesn't stay, we need someone equally as good. That's where it's at. I don't want to say anything more than that."
Hammers boss Sam Allardyce was left frustrated that his side failed to take their chances in attack but admitted that the second consecutive clean sheet - following last weekend's 2-0 opening win at home to Cardiff City - was a big plus.
"All our golden chances came from headers," he said. "If you going to play away from home and create chances and not take any then it's a disappointment for us.
"We had a goal that was disallowed - it looked like we was offside. Joe Cole had a chance and it looked like it was going to bend in and it just went wide. We were really frustrated from that point of view.
"We're satisfied with a point, it's another clean sheet but we are disappointed that we didn't take any of the very good chances we created today."