の (NO) is used to express possession, often used to translate "my, your, his, her," etc.
それは中島さんのかばんです。
Sore wa nakajima san no kaban desu.
That is Mrs. Nakashima’s bag.
2.
The particle の (NO) is used very often in Japanese to provide further information about something. の links the two elements using this structure: "Additional information + の + main element."
Depending on the sentence, the nature of the additional information varies. Here are several examples:
Attribute, property of an object
Plaid coat チェックのコート (chekku no kooto)
Green plate 緑色のお皿 (midori iro no osara)
Function, usage
Cinema ticket (= for the cinema) 映画のチケット (eiga no chiketto)
DIY tools 日曜大工の道具 (nichiyou daiku no dougu)
Geographical position
Churches in Germany ドイツの教会 (Doitsu no kyoukai)
Japanese inn in Kyoto 京都の旅館 (Kyouto no ryokan)
Temporal information
The summer in two years 再来年の夏 (sarainen no natsu)
The old currency 昔のお金 (mukashi no okane)
Material
Leather gloves 革の手袋 (kawa no tebukuro)
A wooden shelf 木の棚 (ki no tana)
3.
The particle の (NO) can appear in a structure expressing position and location. Examples:
... の上に (NO UE NI) : on
... の中に (NO NAKA NI) : in
etc.
お金は金庫の中です。
Okane wa kinko no naka desu.
The money is in the safe.
4.
の (NO) is used when a noun follows another noun, and when both grouped together express the same thing.
こちらが友人の花子さんです。
Kochira ga yuujin no hanako san desu.
This is my friend Hanako.
"Friend" and "Hanako" express the same idea (Hanako is my friend = my friend is Hanako).
5.
の (NO) expresses the idea that something belongs to a category.
このテレビ番組は子供の番組です。
Kono terebi bangumi wa kodomo no bangumi desu.
This TV program is a children’s program.
6.
The particle が (GA) is used to indicate the subject in the sentence (not only). It can be replaced by の (NO) to form complex sentences with several clauses. This structure is often used to build sentences using "THAT". Mastering this usage of の is important to progress.
木村さんの選んだ服は変でした。
Kimura san no eranda fuku wa hen deshita.
The clothes that Mrs. Kimura chose looked strange.