They are called AGLETS - an alternative spelling is AIGLETS, but this is less common.
The word aglet comes from the French aiguillette, or needle. It can also refer to a metal tag on a (shoe)lace; a spangle; or a tag-like ornament on a uniform. (Oxford English Dictionary)
There is a website which tells you everything else you might want to know about shoelaces - apparently lots of people look uo shoelace tips (or shoelace ends as they are apparently called!) The site is at
www.fieggen.com/shoelace
The word aglet comes from the French aiguillette, or needle. It can also refer to a metal tag on a (shoe)lace; a spangle; or a tag-like ornament on a uniform. (Oxford English Dictionary)
There is a website which tells you everything else you might want to know about shoelaces - apparently lots of people look uo shoelace tips (or shoelace ends as they are apparently called!) The site is at
www.fieggen.com/shoelace