Environment and Heritage officers have captured and killed a 4.3-metre crocodile believed to have killed New Zealand-born tourist Cindy Waldron in far north Queensland.

The Department of Environment and Heritage Protection removed the estuarine crocodile from Cooper Creek, near Thornton Beach where Ms Waldron was taken on Sunday night, and euthanised the reptile.

"Wildlife officers believe the 4.3m crocodile is the target animal due to its size and location," Queensland police said in a statement on Friday evening.