A number of SharePoint features connect to Microsoft Outlook using the “Connect to Outlook” button. The Announcement app is not one of them. However, Microsoft has given us the capability to use RSS feeds to connect announcements to Outlook.
Go to the Announcements page on your favorite SharePoint site and from the LIST tab, choose RSS Feed.
Copy the link in the browser’s address bar
From the File Menu in Microsoft Outlook, click Account Settings, followed by account settings again.
Click on the Feeds tab, and from the feeds tab, click New
Paste the address in the location field on the RSS Feed in Outlook
From here, you can use Change Folder to have the feeds deliver to a specific folder in your inbox, or you can leave them separate in an RSS Feed folder.
To change the folder where the feed delivers, click on the Change Folder button.
In the New RSS Feed Delivery Location box, navigate to your inbox, and click the little plus sign to expand your inbox.
Choose the folder where you want your feeds to deliver, then click OK.