You'd need to provide a little more detail about your problem.

Please explain in detail

• what you're doing
• what happens
• what you expect to happen

I config my email account in thunderbird (imap server) and it syncronize all folder in email account but inbox folder d'ont show any new or older emails and windows live mail show emails in inbox folder.

windows live mail show emails in inbox folder.

What is the account type with WLM? POP or IMAP?

imap on WLM and in thunderbird.

In Thunderbird, do you get any error message?

Is there anything relevant in the error console? Tools (Alt-T) - Error Console

Please post your Troubleshooting Information. At the top right of the Thunderbird window, click the menu button , then select Help > Troubleshooting Information. Press the Copy text to clipboard button and paste the information into your reply.

content of error console show no errors

Troubleshooting Information:

 Application Basics

   Name: Thunderbird
   Version: 24.4.0
   User Agent: Mozilla/5.0 (X11; Linux i686; rv:24.0) Gecko/20100101 Thunderbird/24.4.0
   Profile Directory: Open Directory

             (Unknown location)
   Application Build ID: 20140318000743
   Enabled Plugins: about:plugins
   Build Configuration: about:buildconfig
   Crash Reports: about:crashes
   Memory Use: about:memory

 Mail and News Accounts
   account1:
     INCOMING: account1, , (imap) imap.sapo.pt:993, SSL, passwordCleartext
     OUTGOING: smtp.sapo.pt:465, SSL, passwordCleartext, true

   account2:
     INCOMING: account2, , (none) Local Folders, plain, passwordCleartext

 Extensions
   Messaging Menu and Unity Launcher integration, 1.3.1, true, messagingmenu@mozilla.com

 Important Modified Preferences

   Name: Value

     browser.cache.disk.capacity: 358400
     browser.cache.disk.smart_size_cached_value: 266240
     browser.cache.disk.smart_size.first_run: false
     browser.cache.disk.smart_size.use_old_max: false
     extensions.lastAppVersion: 24.4.0
     mailnews.database.global.datastore.id: a50d632e-ef83-4906-aaac-4c4e5dd9bb9
     mail.openMessageBehavior.version: 1
     network.cookie.prefsMigrated: true

 Graphics

     Adapter Description: X.Org R300 Project -- Gallium 0.4 on ATI RV380
     Vendor ID: X.Org R300 Project
     Device ID: Gallium 0.4 on ATI RV380
     Driver Version: 2.1 Mesa 10.1.0
     WebGL Renderer: false
     GPU Accelerated Windows: 0

     AzureCanvasBackend: cairo
     AzureFallbackCanvasBackend: none
     AzureContentBackend: none

 JavaScript

 Incremental GC: 1

 Accessibility

   Activated: 0
   Prevent Accessibility: 0

 Library Versions

     Expected minimum version
     Version in use

     NSPR
     4.10.2
     4.10.2

     NSS
     3.15.4 Basic ECC
     3.15.4 Basic ECC

     NSS Util
     3.15.4
     3.15.4

     NSS SSL
     3.15.4 Basic ECC
     3.15.4 Basic ECC

     NSS S/MIME
     3.15.4 Basic ECC
     3.15.4 Basic ECC

You run an ancient version of Thunderbird, the most recent version is 38.5.0. It's recommended you upgrade to the latest version.

You can try to delete the IMAP account, restart Thunderbird, and then re-create the account.

Create a backup of your profile before just in case. http://kb.mozillazine.org/Thunderbird_:_FAQs_:_Backing_Up_and_Restoring

If you turn on synchronization Thunderbird will download an offline copy of your messages, which may take a while. https://support.mozilla.org/en-US/kb/imap-synchronization#w_synchronization