Residents have been stopped from using a tip near their house and are now facing a 14 mile round trip to dispose of rubbish.
People living in Scholes and Cleckheaton can no longer take garden waste to tips in Atlas Mill Road in Brighouse and Dealburn Road in Wyke.
And permits have been introduced in Bradford meaning only people who live within the authority can take waste to the site.
Instead people are facing a drive to Birstall or Dewsbury to drop off waste.
Coun Kath Pinnock (Lib Dem, Cleckheaton) said: “Residents are facing a 14 mile round trip to junction 27 in Birstall which is the nearest Kirklees site.
“You could understand it if the waste you were taking had to go to landfill sites because that’s a big cost to the authority.
“But if you’re taking garden rubbish, that is recyclable, so people are asking what the problem is, and why can’t Kirklees make arrangements with Bradford and Calderdale councils to let residents who live close to their sites use them.
“Kirklees Council has said it will look into it and we will see what that brings.
“It is a big issue for people who live there.”
Coun Pinnock said Kirklees Council issued a charge to collect garden waste, while other councils collected it for free.
She said: “I have every sympathy with them. People are saying they know these sites are nearby – why can’t they use them? It’s ridiculous.”
Leader Coun Mehboob Khan said he would discuss it with other leaders.