What are the three major types of chemical bonds?

Answer 1

You will find the answer, together with some diagrams, at:
http://staff.jccc.net/PDECELL/chemistry/bonds.html

Answer 2

This question has been posted two or three times recently and I think it is a little misleading, in that there are many more than three types of chemical bonds. I note that the problem asks for three MAJOR types of chemical bonds but in whose opinion. At any rate, the answer PROBABLY is ionic, covalent, and metallic; however, co-ordinate covalent bonds and polar covalent bonds play important roles in chemical bonding. And there are several others that are less important, at least in the strength of those bonds.