Goals in each half from Dimitri Payet proved enough to fire the Hammers up to fifth in the Barclays Premier League, and leave McClaren's Newcastle stuck in the bottom three.
Bilic famously masterminded McClaren's darkest hour in management eight years ago when his Croatia side beat England 3-2 at Wembley.
That defeat prevented the Three Lions qualifying for Euro 2008 and cost McClaren his job as England boss, as well as a large chunk of his credibility.
And in their first competitive meeting since that rain-soaked night, Bilic once again came out on top while McClaren's Toon side are still winless, having not scored in the league since the opening day of the season.
West Ham's start to the campaign has been somewhat bizarre to say the least, with wins at Arsenal and Liverpool sandwiching home defeats by Leicester and Bournemouth
But they could sense Newcastle were there for the taking after just nine minutes when £10.5million summer signing Payet capped a sweeping move with a stunning opener
Mark Noble collected Diafra Sakho's backheel in the penalty area and laid the ball back for the French midfielder to coolly sidefoot a curling effort into the top corner
Payet arrived from Marseille with a reputation for creating goals as well as scoring them, and he showed why by teeing up Manuel Lanzini for a shot which the youngster blazed over, before playing in debutant Victor Moses only for the Chelsea loanee to fire wide
By contrast, the sum total of Newcastle's efforts in the first half was a Janmaat shot which Hammers keeper Darren Randolph comfortably kept out
And three minutes into the second half West Ham doubled their lead
Moses was desperately unlucky not to mark an impressive first appearance with a goal when he ran almost the length of the field following a Newcastle corner, only to crash his shot against the crossbar
The ball bounced down and out towards the lurking Payet, who thumped it into an empty net to take his tally for the season to three
Newcastle tried to find a way back into the match but the closest they came was a shot from Siem de Jong which was deflected narrowly over the top, much to McClaren's frustration
It may not have rained at Upton Park as it did at Wembley that fateful night, but you sense the storm clouds may already be brewing at Newcastle
TWEET OF THE MATCH
"Absolutely fabulous goal for West Ham
Delightful buildup play and finished exquisitely by Payet." - Former England marksman Gary Lineker was impressed with Payet's first goal.
https://twitter.com/GaryLineker/status/643502471160201216
PLAYER RATINGS
West Ham
Darren Randolph: 6/10
Aaron Cresswell: 6
Winston Reid: 7
Angelo Ogbonna: 6
James Tomkins: 7
Cheikhou Kouyate: 7
Mark Noble: 7
Manuel Lanzini: 7
Dimitri Payet: 9
Victor Moses: 8
Diafra Sakho: 7
Substitutes
Carl Jenkinson: 6
Pedro Obiang: 6
Andy Carroll: 6
NEWCASTLE
Tim Krul: 6
Daryl Janmaat: 5
Fabricio Coloccini: 6
Chancel Mbemba: 5
Massadio Haidara: 6
Jack Colback: 5
Moussa Sissoko: 7
Georginio Wijnaldum: 6
Vernon Anita: 6
Florin Thauvin: 6
Papiss Cisse: 5
Substitutes
Siem de Jong: 6
Ayoze Perez: 5
Rolando Aarons: 5
STAR PLAYER
Dimitri Payet
The 10.5million summer signing from Marseille brings substance as well as style to the Hammers' attack
He has plenty of tricks in his locker but two fine goals showed his undoubted class.
MOMENT OF THE MATCH
Payet's first goal
A sweeping move down the left saw Diafra Sakho's backheel complete a one-two with Mark Noble, who laid the ball back for Payet to sidefoot into the top corner from 20 yards.
VIEW FROM THE BENCH
Bilic wants his side to attack and they look like they have goals all throughout their midfield and front players
Newcastle's problem is goalscoring, and it showed with Papiss Cisse stuck up front virtually on his own.
MOAN OF THE MATCH
Those hardy Newcastle fans who travelled to London for an 8pm kick-off on a Monday night deserve a break from the TV schedulers, as well as a lot more than they got from their team.
WHO'S UP NEXT
Man City v West Ham (Premier League, September 19)
Newcastle v Watford (Premier League, September 19)
Source : PA
Source: PA