The ONE

وَأَنَّهُ تَعَالَى جَدُّ رَبِّنَا مَا اتَّخَذَ

صَاحِبَةً وَلَا وَلَداً

'And Exalted is the Majesty of our Lord: He has taken neither a wife nor a son.

Concerning Allah's statement,

وَأَنَّهُ تَعَالَى جَدُّ رَبِّنَا ...

And He, exalted be the Jadd of our Lord,

`Ali bin Abi Talhah reported from Ibn `Abbas that he said concerning Allah's statement, جَدُّ رَبِّنَا the Jadd of our Lord,

"This means, His actions, His commands and His power.''

Ad-Dahhak reported from Ibn `Abbas that he said,

"Allah's Jadd is His blessings, His power and His favor upon His creation.''

It has been reported from Mujahid and `Ikrimah that they said,

"It (Jadd) is the magnificence of our Lord.''

Qatadah said,

"Exalted is His magnificence, His greatness and His command.''

As-Suddi said,

"Exalted is the command of our Lord.''

It has been reported from Abu Ad-Darda', Mujahid and Ibn Jurayj that they said,

"Exalted is His remembrance (Dhikr).''

The Jinns Affirmation that Allah does not have a Wife and Children

Allah says,

... مَا اتَّخَذَ صَاحِبَةً وَلَا وَلَدًا ﴿٣﴾

He has taken neither a wife nor a son.

meaning, far exalted is He above taking a mate and having children.

This means that when the Jinns accepted Islam and believed in the Qur'an they professed Allah's magnificence above having taken a spouse and a child (or a son).

Source