Java SE 6/SE 7 Runtime is installed on the computer.
Note:
Java SE 6 Downloads. Go to the Oracle Java Archive page. Thank you for downloading this release of the Java TM Platform, Standard Edition Development Kit (JDK TM).The JDK is a development environment for building applications, applets, and components using the Java programming language.

In Dreamweaver 2014, the prompt does not appear when you launch Dreamweaver. However, you are prompted to install Java SE 6 runtime while logging in to PhoneGap Build service (Site > PhoneGap Build Service > PhoneGap Build Service).
In the pop-up window that appears, click Install and follow the onscreen instructions to install Java SE 6 Runtime.
Note:
In Dreamweaver 2014, you can't log in to PhoneGap Build service without installing Java SE 6 Runtime.
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Important: Ensure that you install Java SE 6 Runtime only by clicking Install in the pop-up window. If you install Java SE 6 or 7 Runtime through any other means (for example, by directly accessing Java.com), Dreamweaver could still display the prompt.
Even if you have installed Java SE 7 Runtime, you still need to install Java SE 6 Runtime as described above.
If you continue to see the prompt even after installing Java SE 6 Runtime as described above, perform the following steps:
Dreamweaver displays such a prompt because, when you update to Mac OS 10.9, Java SE 6 Runtime on your computer gets uninstalled.