Some of them may don't like this activity. But there is no direct way to stop everyone from seeing when you add new friends. You will not find the option to disable it in the privacy setting system. But there is another way to disable it but for this, you have to wait until you add your next friend.
Below I have explained the process.So if you find it useful or have any question please leave your queries in the comment box.
Stop Everyone Seeing That U Added Friends On FB
- Log into Facebook after you have become friends with someone, then click "Profile" in the upper right area of the screen to view your own Wall.
- Scroll down your Wall until you see a "Recent Activity" section that reads "(Username) and (Username) are now friends."
- Mouse over the friending activity announcement, click the "X" that appears to the right of it and click "Hide All Friending Activity" from the drop-down menu that appears. A confirmation window appears.
- Click the "Hide All" button in the confirmation window to stop everyone from seeing that you added friends on Facebook from this point forward.