The Ravens slipped to a 5-0 defeat with the game over at half-time.
The hammering was Bromley’s fourth National League loss in a row.
Smith has demanded a response from his out-of-sorts side and he said the first half was a low point in his managerial career.
“That was the worst it has been since I came to the club,” he said to the club’s YouTube service after the game.
“I’m embarrassed and I have to apologise to the supporters.
“We showed a little bit of guile in the second half but it was done before half-time. I must say sorry on behalf of the players.
“That is not a Bromley side that I have been putting out. We had a couple of chances but we were undone by some bad defending.
“As a group of men we need to come back and make sure that never happens again.
“I can’t paper over the cracks. That wasn’t a Bromley side. We are better than that.
“Maybe we need to sit down and discuss a couple of things because we can’t allow for that to ever happen again.”