turn down an offer
refuse an offer
decline an offer

And how she had refused his offer to get her out of the country.

Green Party officials refused the offer, saying they did not want to be used.

When he refused the offer, the party went its own way.

How would they help, now that he'd refused their offer to leave the country?

"I have never before refused an offer of good work?"

A man pretty much always refuses another man's first offer, no matter what it is.

Probably he would refuse her offer, but she certainly should make it.

They have fun together, but he refuses her offer to go home with him.

The School board offered him half the amount, and he refused the offer.

She at first refused the offer but then decided to "give it a shot".