+2  A: 

I think you'd have to turn off the AcceptButton on your form while the TextArea has the focus in order for this to work. Your form has no way of "knowing" that it's not supposed to respond to the Enter key while something in particular is going on inside the WebBrowser control.

MusiGenesis
I think it's the only working optin, though I hoped for a solution similar to TextBox control. If I have a multiline TextBox and I set AcceptsReturn to true, I can press enter and a newline is added.
Vasi
I think it's too complex a situation to be handled by a simple AcceptsReturn property in the WebBrowser. You wouldn't want to just cancel the OK button on Enter if the focus is in the WebBrowser control, because that's likely to be the only control on the form other than the OK and Cancel buttons.
MusiGenesis