How to take permission from other website owner?

Yes, you may add an image on Wikimedia Commons of other website but you need to take permission of that image/website owner.
How to take permission from other website owner?
You have to request to image owner to send a mail to permissions-commons@wikimedia.org (mailto:permissions-commons@wikimedia.org)


Mail Format

To: permissions-commons@wikimedia.org

I hereby affirm that I choose one: [am name] or [represent copyright holder's name], the creator and/or sole owner of the exclusive copyright of choose one: [the media work][1] or [the work depicted in the media][2] or [both the work depicted and the media][3] as shown here: choose one: [web page of the content] or [in the attached images/text],[4] and have legal authority in my capacity to release the copyright of that work.

I agree to publish the above-mentioned content under the following free license: Creative Commons Attribution-Share Alike 4.0 International.[5]

I acknowledge that by doing so I grant anyone the right to use the work, even in a commercial product or otherwise, and to modify it according to their needs, provided that they abide by the terms of the license and any other applicable laws.

I am aware that this agreement is not limited to Wikipedia or related sites.

I am aware that the copyright holder always retains ownership of the copyright as well as the right to be attributed in accordance with the license chosen. Modifications others make to the work will not be claimed to have been made by the copyright holder.

I acknowledge that I cannot withdraw this agreement, and that the content may or may not be kept permanently on a Wikimedia project.

[Sender's name]
[Sender's authority (if applicable. E.g. "Copyright holder", "Director", "Appointed representative of", etc.)]
[Date]