Honor program for engineering?

If so, how to apply?

Please refer to http://www.engr.wisc.edu/current/current-student-undergraduate-honors.html
There are two types of honors programs.

How to apply for the first type?

Did you click on the link to bring up this?

http://www.engr.wisc.edu/current/current-student-undergraduate-honors-liberal-arts.html

Then scroll to the bottom to find the contact person for more questions.