It was Anderson's first game back since being injured March 10.
Ottawa scored twice in the third and killed off a 34 second two-man advantage to hold off the Blackhawks before a crowd of 18,922 at the Canadian Tire Centre.
Turris made it 4-2 with a power-play goal at the six-minute mark of the third and MacArthur scored his 23rd of the season midway through the period to make it 5-2.
The Blackhawks made it 5-3 with a short-handed goal at the 17-minute mark as Seabrook's shot from the point just trickled across the goal-line.
Ottawa jumped out to a 3-0 lead, but by the end of the second it was a one-goal game. The Senators were outshot 23-5 in the middle period.
Chicago got on the board midway through the second with a power-play goal as Sharp took a great pass from Jonathan Toews and tipped it past Anderson.
Sharp set a career high with the goal, picking up his 72nd point of the season. It also marked the Blackhawks first power-play goal on the road in eight games.
Hossa, a former member of the Senators, made it 3-2 as he scored with 41 seconds remaining in the second period. Hossa intercepted a pass at the Ottawa blue-line, cut through two defencemen and squeezed the puck past Anderson.
Ottawa had made it 3-0 just 23 seconds into the second as Michalek tipped in a shot off a pass from Spezza.
The Senators a 2-0 lead after the first 20 minutes.
Condra made it 1-0 scoring shorthanded midway through the first and Ceci made it 2-0 in the final minute of the period as he scored from just inside the blue-line.
Notes: The Senators were without D Chris Phillips who missed his second straight game and RW Bobby Ryan (sports hernia, out for season). LW Matt Kassian was a healthy scratch… The Blackhawks are without RW Patrick Kane (lower body, two weeks), LW Bryan Bickell (upper body, day-to-day) and D Michal Rozsival (lower body, day-to-day). D David Rundblad, LW Jeremy Morin and LW Teuvo Teravainen were a healthy scratch. LW Matt Carey made his NHL debut.