The Hammers have enjoyed a superb start to the season under Sam Allardyce, winning three games in a row before last weekend's 2-2 draw at Stoke City.
Goals from Enner Valencia and Stewart Downing hauled West Ham back from 2-0 down in that game, but Allardyce's men couldn't break down Aston Villa today.
Villa had lost six games in a row before their trip down to East London, conceding 15 and scoring just once during that run of defeats.
Yet today, they defended stoutly to keep West Ham at bay, even though the Hammers fired 21 shots at Brad Guzan's goal, with only five on target.
That was basically the reason for the stalemate, with the return of Diafra Sakho to the West Ham attack not enough to gain them all three points.
There was good news for West Ham fans though, as striker Andy Carroll finally made his return to first team football as a substitute for Mark Noble in the 92nd minute.
The result puts West Ham back up in to fourth place in the Premier League, whilst Villa have ended their losing run and remain in 16th place in the table.