我的名字是 <name>。
wo3 de5 ming2 zi5 shi4 <name>.
我的 (wo3 de5) = my (or "mine")
名字 (ming2 zi5) = name
是 (shi4) = is (or "am" or "are", used when A = B, which it does here as "name" and <name> are the same thing)
---
Otherwise you can just say: I am <name>.
我是 <name>。
wo3 shi4 <name>.
我 (wo3) = I (or "me") [the same as in 我的 (wo3 de5) above]
是 (shi4) [look above]
or
I am called <name>.
我叫 <name> 。
wo3 jiao4 <name>.
我 (wo3) [look above]
叫 (jiao4) to be called