Brett Pitman scored for the fourth successive game as Bournemouth came away from Colchester with three points to move second in League One.
The Jersey-born striker's first-time shot from Matt Ritchie's low cross sealed the win and handed him his 10th goal in 13 games.
Marc Pugh could have doubled the lead before half-time but his header was deflected onto the post.
Harry Arter had two second-half chances for the Cherries but failed to score.
VIEWS FROM THE DRESSING ROOM
Bournemouth manager Eddie Howe told BBC Radio Solent:
"I actually thought it was one of our best performances of the season. We dominated possession on a difficult surface and we created numerous chances.
"We probably weren't clinical enough with them, and that's probably the only criticism of the day, but the lads were excellent today.
"I feel we're developing as a team all the time. This isn't an easy place to come. Colchester have got some good players but we looked by far the most dominant side.
"Defensively, the back four have been very good, our goalkeeper's been good and they've been well protected in front of them. We're going to need keep clean sheets to be a successful team."
Colchester 44 Walker 03 Garmston (White - 64' Booked ) 04 Okuonghae 20 Wilson 40 Thompson 41 Clifford 14 Bond 09 Morrison (Smith - 73' ) 17 Ibehre 21 Massey 33 Compton (Wright - 71' ) Substitutes 01 Cousins 02 Wright 25 White 15 Bean 30 Wright 12 Hewitt 22 Smith Bournemouth 21 Allsop 02 Francis 03 Cook 13 Elphick 07 Pugh (Hughes - 90' ) 08 Arter 11 Daniels 30 Ritchie 32 O'Kane Booked (MacDonald - 28' ) 22 Grabban (Tubbs - 87' ) 40 Pitman Substitutes 01 Jalal 05 Seaborne 12 Fogden 16 MacDonald 17 McQuoid 26 Hughes 18 Tubbs