For our website, I posted our local, state, and national associations, with their logos. One of the associations emailed saying we did not have permission to use their name and logo, and asked us to remove it. I did so and never heard from them again. The other associations never articulated a problem.
Shel Horowitz is probably correct in that you need permission.
Is it an actual law that you cannot post other businesses' names on your website without permission?