Australia batsman Shane Watson hit 122 runs as his side raced to a 329-7 lead over the West Indies at the Manuka Oval.
The returning 32-year-old clocked up 12 fours and two sixes before being caught by Kieron Pollard off the bowling of Kemar Roach.
Phillip Hughes hit 88 before he was also caught behind following Darren Sammy's bowl, in the first-ever one-day international to be played in the nation's capital.
Glenn Maxwell (4) and George Bailey (44) both had their time at the crease ended by catches from Pollard on the boundary.
Sammy also dismissed Aaron Finch for 38 before Pollard caught the hosts' captain Michael Clarke off his own bowling for 15.
Australia currently lead the five-match series against the Windies 2-0.