From the press release:
Amazon.com, Inc. (NASDAQ:AMZN) today announced that its suite of free Kindle reading apps now includes Kindle for Android. Customers around the world can now download this free application from Android Market and enjoy Amazon's vast selection of Kindle books on their Android-powered devices. ... Customers can learn more about Kindle for Android at www.amazon.com/kindleforandroid and can download the free app from Android Market.
Since I don't have access to the Marketplace, I'm waiting to get it from someone else.
Update: kindle for Android.