Miller's 30th save was perhaps his finest, sticking his right pad out to deny Mike Richards' look at an open net less than a minute into the third period.
Buffalo continued its winning run against the Kings, improving to 10-1-1 with one tie against them since the start of the 1993-94 season.
Moulson also had two assists.
NOTES: Los Angeles D Matt Greene and C Jarret Stoll each missed their third-consecutive game with upper body injuries. ... Buffalo LW John Scott was scratched for the second-straight game after serving a seven game suspension. ... It was the first of a four-game road trip for Los Angeles, which continues Thursday against the New York Islanders.