Here is how to introduce yourself in Arabic

اسمي .............
Ismiy ...........
My name...........

Fill in the dots above with each of your names. For example your name is Budi, then to introduce your name, you can use the phrase: ismiy budi, which means my name is Budi.
Then to introduce who you are, you can use:
أَنَا ....
Anaa ....
Me........
Fill in the points according to yourself, such as position, job, position, relationship and others. Example:
أنَا طَالِبَة جَديْدَة في هذا الفصل
Anaa thoolibah Jadiidah fii haadzal fashli
I am a new student in this class

أَنَا أَبُوْهُ
Anaa abuuhu
I am his father

Source:
Examples of Introducing Yourself in Arabic
Arabic Conversation about Introduction (Ta'aruf) and Its Meaning