One resident reported seeing nine police cars on Shay Lane.
A spokesperson for West Yorkshire Police said officers were making an arrest. No further details were available.
"Officers attended an address on Shay Lane in Halifax at 2am today to carry out an arrest warrant," said the spokesperson.
"Enquiries are ongoing."
Anyone with information about crime in their area can call police via 101.
Information can also be passed on anonymously via Crimestoppers on 0800 555111.