I am unable to delete an opertaion from a class diagram looks like a bug to me ,

steps to reproduce
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1) create a new Class diagram
2) add one class : MyClass
3) Add some operation / method: myMethod1() & myMethod2()
4) Add some attributes : myAttributes1 & myAttribute2
5) I can delete attributes if I want
6) cannot delete myMethod 1 or 2

if I am wrong there must be some other way to delete such methods from class diagram.

Can you try deleting this from the outline view? I was able to delete them at my end.

Incase the problem persists, can you go to MyEclipse > Installation Summary > Installation Details and paste the information here for me.