You may be mis-reading that page. Mavericks 10.9.1 is newer than 10.7.3, so click the Download Java link at the bottom of the page:

Java for Mac

Check your version of Mac OS X. » How do I find my Mac OS X version?

Mac OS X Version 10.6 and below

Use Software Update available on the Apple menu to check that you have the most up-to-date version of Java 6 for your Mac. Java 7 is not supported by these older versions of Mac OS X. If you have problems with Java 6, contact Apple Technical Support. Java.com does not provide a download for these systems.

Mac OS X Version 10.7.3 (Lion) or newer

Java 7 can run on your Mac. Java 7 requires an Intel-based Mac running Mac OS X 10.7.3 (Lion) or later and administrator privileges for installation.
» Information about installing and using Java 7 on Mac
» Download Java Mac OS X Version 10.7.3 (Lion) or newer

If that is not the problem, please explain further.

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Hi, i want to download java 8 update66, but my Mac OS X only version 10.6.8 and Java requires version 10.7.3, please help

as explained in the links above, you can run Apple java on 10.6.8, or java 8 v 66 if you upgrade your Mac OS X beyond 10.7.3.

but my Mac OS X software only up to date version 10.6.8, software update doesn't have any new software 10.7.3....thats why i cannot install Java 8 update 66

Thanks

As Grant said, you can't upgrade Java further on OSX 10.6.8.

You can buy a download code for 10.7 Lion from the Apple Online Store for US$20.The code is delivered by email from a person, so it takes a few days.

You then use that code at the Mac App Store, and it will entitle you to (re-) download 10.7 Lion.

Thank you so much