Rotherham had won their opening three league fixtures but some solid defending from the hosts ensured they were restricted to few opportunities.
The Bees will be disappointed not to have snatched maximum points from the clash after having the best of the half chances.
Most of the goalmouth action was from corners, and Brentford defender Brett Johnson headed wide when he should have done better.
It was a similar story in the second half, and Charlie MacDonald was the next to head wide as Craig Pead’s dangerous corners caused more problems for Mark Robins’ men.
Rotherham’s best chance came with 10 minutes remaining, although a goal would have been harsh on their hosts. Mark Hudson swung over a corner towards the near post but Nick Fenton’s strike was kept out by Brentford keeper Ben Hamer.