Java Runtime Environment or Java Developement Kit not found on 64-bit system

Java Runtime Environment or Java Developement Kit not found on 64-bit system

I have 64-bit version of Windows XP and 64-bit version of JDK and JRE.
During instalation of jEdit, I got this message from the installer:

Setup was unable to find an installed Java Runtime Environment or Java Developement Kit of version 1.4, or higher. You must have installed at least JDK or JRE 1.4 to continue setup.

jEdit installer looks for 32-bit version of JRE. Install it alongside the 64-bit version to fix the problem.

The same problem was with NetBeans installer.