Baggies defenders Pablo Ibanez and Gonzalo Jara both saw red prior to the half-hour mark as Blackpool managed to edge in front before finally winning 2-1.
Ibanez was sent off harshly in the 11th minute for a mere challenge on DJ Campbell with Charlie Adam converting the ensuing penalty before Jara was given his marching orders for a ridiculous challenge on Luke Varney.
With a one-nil lead and two extra men on the park, the Seasiders should have taken more control on proceedings bnut they did double their advantage when Varney tapped in just after the hour-mark following good lead-up play from David Vaughan and Eliot Grandin.
West Brom hit back with five minutes remaining through Youssuf Mulumbu but it was not enough as Blackpool moved up to ninth as the visitors stayed sixth.
Venue: Bloomfield Road, BlackpoolCrowd: 15,210 Referee: Michael Oliver Yellow cards:BL - Charlie Adam 27', Dekel Keinan 84' WBA - Youssuf Mulumbu 17', Steven Reid 64', Paul Scharner 77' Red cards:WBA - Pablo Ibanez 11', Gonzalo Jara 29'
BL Matthew Gilks (gk), Ian Evatt, Craig Cathcart (Carney 57'), Stephen Crainey, Neil Eardley (Phillips 57'), David Vaughan, Charlie Adam, Eliot Grandin, Luke Varney (Keinan 72'), DJ Campbell, Gary Taylor-Fletcher
Subs - Richard Kingson (gk), David Carney (57'), Matthew Phillips (57'), Dekel Keinan (72'), Marlon Harewood, Keith Southern, Ludovic Sylvestre
WBA Scott Carson (gk), Gabriel Tamas, Pablo Ibanez, Nicky Shorey, Gonzalo Jara, Youssuf Mulumbu, Paul Scharner, Jerome Thomas (Barnes 71'), Chris Brunt, Marc-Antoine Fortune (Dorrans 35'), Simon Cox (Reid 15')