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The structural particle 的

In Chinese, 的 (de) stands between a modifier and the head noun or noun phrase and marks the relation of belonging.

In English it usually corresponds to “'s” or “of”.

Basic structure

Modifier + 的 + noun
Meaning: someone's something
(Bái)(Jiā)(yuè)(de)(Zhōng)(wén)(lǎo)(shī)
Bai Jiayue's Chinese teacher

Structure

白家月 + 的 + 中文老师 Bai Jiayue + 的 + Chinese teacher
(Bái)(Jiā)(yuè)Bai Jiayue
(de)marks belonging
(Zhōng)(wén)(lǎo)(shī)Chinese teacher
()(de)(míng)(zi)
Your name

Structure

你 + 的 + 名字 you + 的 + name
()you
(de)possessive particle
(míng)(zi)name

When 的 may be dropped

If 的 is preceded by a personal pronoun and followed by

a kinship term or a noun denoting a person, then 的 may be dropped.

Structure

Personal pronoun + (的) + noun denoting a person

In such cases 的 may be left out.

()(lǎo)(shī)
My teacher
我 + 老师 my + teacher
()(xué)(sheng)
My student
我 + 学生 my + student
()(tóng)(xué)
Your classmate
你 + 同学 your + classmate
()()(ma)
My mother
我 + 妈妈 my + mother

The rule in short

Plain possession

A + 的 + B

A's B

Examples:

(Bái)(Jiā)(yuè)(de)(Zhōng)(wén)(lǎo)(shī)
Bai Jiayue's Chinese teacher
()(de)(míng)(zi)
your name

With people and kinship

Personal pronoun + noun denoting a person

Here 的 may be dropped.

Examples:

()(lǎo)(shī)
my teacher
()(xué)(sheng)
my student
()(tóng)(xué)
your classmate
()()(ma)
my mother