Update 2019: No IE actually supports WebRTC and no IE ever will. In 5 weeks Microsoft Edge will die and long live Chromium based Edge.
That supports WebRTC.
For now IE doesn't support WebRTC.
Microsoft has some plans to implement WebRTC in the future, once ORTC APIs are added on top of WebRTC (also known as WebRTC 2.0).
The Chrome Frame plugin for IE has been discontinued, so that's not a good solution either.
The best option out there for now, is adopting Temasys' plugin for IE and Safari. It is free for use anywhere and adheres to the native WebRTC APIs. More information about it here: http://bloggeek.me/temasys-free-webrtc-plugin/
As of Sept 18 2015 Microsoft Edge (Spartan) is now supporting ORTC. Links and such are below.
BLOGS - http://blogs.windows.com/msedgedev/2015/09/18/ortc-api-is-now-available-in-microsoft-edge/
https://blogs.office.com/2015/09/18/enabling-seamless-communication-experiences-for-the-web-with-skype-skype-for-business-and-microsoft-edge/
http://blogs.skype.com/2015/09/18/skype-for-web-and-skype-for-outlook-com-update/
DEMOS on Edge Test Drive - http://dev.modern.ie/testdrive/demos/ortcdemo/ for Edge-to-Edge video calls
http://dev.modern.ie/testdrive/demos/twilioortc/ for Edge-to-Phone calls by Twilio
http://dev.modern.ie/testdrive/demos/simplewebrtc for Edge-to-Chrome/FF audio calls by &yet
Open Source projects for WebRTC-ORTC interop – from partners working closely with us
https://webrtchacks.com/first-steps-ortc/ - blog post and open source project by &yet
https://www.npmjs.com/package/ortc-adapter - open source project launched by Twilio
Hope this helps. Healy in Tampa
They say, ORTC API is available under Windows10 in the Microsoft Edge browser.
However, I did not see working example of ORTC(aka WebRTC2.0).
And I'm sure it is incompatible with current working WebRTC implemented in Chrome and FF.
For now IE doesn't support WebRTC. Moreover, it seems like MS don't plan to implement WebRTC. They announced a new technology called CU-RTC-Web - kinda Microsoft analog of WebRTC.
CU-RTC-WEB: http://html5labs.interoperabilitybridges.com/cu-rtc-web/cu-rtc-web.htm
Expected that this CU-RTC-WEB will be compatible with todays WebRTC.
UPDATED
Some people also report that IE supports WebRTC when using http://www.google.com/chromeframe
UPDATED
Microsoft announced supporting WebRTC in IE: http://blogs.msdn.com/b/ie/archive/2014/10/27/bringing-interoperable-real-time-communications-to-the-web.aspx
UPDATED
While Microsoft will be adding WebRTC in IE, probably in 2015, to which version of IE is left to be seen: https://bloggeek.me/microsoft-browser-webrtc/