。
My name is Suzuki.
Literal
Suzuki [quotative-と] am-called [humble-申します].
A classic self-introduction. 申す is the humble (kenjougo) form of 言う ('to say'). ~と申します is the set formula for giving your own name politely — 'I am called (humbly) X.' Highly polite; standard in first-meeting contexts.