The Merseyside club hit back having twice lost the lead through Tim Cahill and Seamus Coleman although the former Preston North End boss believe his side dropped two "big points" at Bloomfield Road.
"For me, it’s a big two points dropped," he said. "Winning away in the Premier League is never easy, and today wasn’t easy but I thought it was there for us to get the result.
"The point’s ok, but I would have rather gambled for three points rather than the one.
"I thought the three points should have been there for us, but when we sort of gambled, they did as well and the last 10 minutes became end to end as well.
"I thought we made a lot of poor decisions and maybe we should have done something differently, a bit more quality maybe.
"I thought we should have won. We had chances, but you have to credit Blackpool, they dug in and it was hard in the last 10 minutes.
"We had numerous opportunities in the first half, and I felt we created clear chances in the second half and didn’t take them. We should have got all three points.
"We didn’t start well; I think we gave away four free-kicks in the opening five minutes, and allowed them to put pressure on us."
Cahill again showed his quality in the air with another headed goal and Moyes praised the move that led to the Australian getting on the scoresheet.
"It was a good goal," the Toffees boss added. "It was well worked. I think we got in those positions in the first half six, seven, maybe eight times, and we’ve only made one count, so that’s the disappointing thing, that we couldn’t actually get the final bit done."
Moyes also reserved special praise for 22-year-old goalscorer Coleman, who spent a chunk of last season on loan with Blackpool, assisting them in their promotion to the Premier League.
"Seamus Coleman – he’s done terrifically for the goal. There were one or two things he could have done better but overall it was a good performance.
"He got to the by-line a couple of times and put in a couple of good balls that you’d hope someone would get on the end of."
Moyes also had positive words for the performance of Phil Neville, believing he did a good job in dealing with the threat of Luke Varney.
"He’s a great winger," he added. "I thought he played really well today, he made it very difficult for their players. I thought he did a great job on Luke Varney.
"Just overall, he’s a really good man and a great player."
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