There were several clashes between fans inside Bloomfield Road at Saturday’s match as Leeds fans occupied seats in home supporters’ sections.
One man, believed to be a Leeds fan, suffered cuts to his face after fighting with home fans.
Fighting started after Leeds scored but police quickly broke up groups of rival fans.
After the match, one Leeds fan said: “I know there was some trouble and Leeds fans getting into the home end was not an ideal situation.
“Had we been given a larger allocation there would have been less temptation for fans to buy tickets for the home end.
“The Blackpool match has always been seen as a bit of a day out among Leeds fans so there is always a big turn-out.
“It’s a real pity there was some trouble, because before the match both sets of fans had been united in protest.
“It doesn’t look good when fans are seen scrapping like that.”
A Blackpool supporter said he had been disgusted by the scenes.
He said: “The Leeds fans should never have been allowed to sit in the home fans’ seats in the first place.
“I was sitting near some of them and it was obvious to everyone they weren’t Blackpool fans.
“To be fair, though, most of them behaved and just kept their heads down and watched the match.
“There were only a couple of incidents where fans clashed, although that is a couple too many in any case.”
Police say no-one has been charged as a result of the incidents in the ground.