Officers were sent to an address in Baker Street at around 11.10am yesterday following a report that a woman had been stabbed.
A West Yorkshire Poliec spokesman said: "The victim, a 41-year-old woman, was treated at the scene by paramedics and taken to hospital for treatment where she remains in a serious but stable condition."
The suspect, a 35-year-old man, was arrested at hotel in Birstall a short time later.
He is being held in police custody.
The spokeswoman added: "Scenes remain in place whilst enquiries continue."
Anyone who has any information about the incident is asked to call Leeds District CID via 101 quoting 13170596462.