When you strike something on an anvil, you create a spark, so an anvil in a dream can represent something that will create a metaphorical spark – the beginning of something new in your life.
If you dream about an anvil, your dreaming mind is sending you a message that a change is about to take place. Look at the other symbols in your dream for clues as to what that change might be.
An anvil is a tool that, along with a hammer, is used to create things out of metal, so a dream about an anvil can represent your ability to create new things.
However, using an anvil requires strength and hard work, so the dream contains a message that you will have to work hard in order to create what you want.