The jucheck.exe is the Java update verification process. This process will check on the internet for available updates for the Java software installed on your computer. If updates are available, it will notify you and/or manage the download and install of the updates. You should leave this process running in order to keep your Java up to date.
When there is a notification for new update, a tooltip ballon appears.
To install new update click the notification window.
Note: If you are on Windows Vista or Windows 7 operating systems, then you will see User Access Control (UAC) consent prompt.
The consent prompt is seen when a user attempts to perform a task that requires a user administrative access.
Click Continue button to install new Java update.