Boro were two down after just 12 minutes after Brett Pitman slammed home two penalties but they battled back to level through Kei Kamara and Mustapha Carayol before the break and took the lead in the second half with a Grant Leadbitter strike.
But Bournemouth plundered a point late on as Boro's Jonathan Woodgate turned a cross into his own net.
"It was an excellent performance," said Howe.
"I'm certainly not going to complain about losing the early lead because Middlesbrough are a good footballing side and we knew it would be hard and that anything we got here would be a bonus.
"We got a great start and they came back into it and we showed great character after they got back into it.
"We had to change shape a few times, first to get back into it after they went ahead and then again to shut up shop and I was delighted at the way they applied themselves and did their jobs."
And having taken control with two spot-kicks Howe suggested Bournemouth should have a third.
"The first two were cast iron," he said.
"For me the third one looked clear cut too but no away team is ever going to get three penalties."
- Sports & Recreation
- Mustapha Carayol
- Brett Pitman
- Jonathan Woodgate
- Kei Kamara
- Grant Leadbitter