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It is Sunnah for a Muslim at the time of Dhuhā (forenoon) to offer Dhuhā prayer.
This is proven by the following Ahādeeth:
1) The Hadeeth of Abi Hurayrah (ABPWH), who said, “My beloved one (i.e. the Prophet (PBUH)) advised me to do three things: To fast three days in every month, to offer the two Rak‘ah prayer of Ad-Dhuhā, and to offer Witr prayer before sleeping.” (Authenticated by Al-Albāniy)
The Prophet (PBUH) also advised Aba d-Dardā’ (ABPWH) to offer the two Rak‘ahs of Dhuhā. (Muslim no. 722)
Moreover, the Prophet (PBUH) also advised Abā Dtharr (ABPWH) to offer the two Rak‘ahs of Dhuhā. (An-Nasā’iy in As-Sunan Al-Kubrā no. 2712)
2) The Hadeeth of Abi Dtharr (ABPWH), who reported that the Prophet (PBUH) said, “By every morning, every one of you owes to give Sadaqah (charity) on behalf of every joint of his bones. Every Tasbeehah (saying “Subhān Allāh” [Glory be to Allāh]) is a charity, every Tahmeedah (saying “Al-Hamdu Lillāh” [All praise and thanks be to Allāh]) is a charity, every Tahleelah (saying “Lā Ilāha Illā Allāh” [None has the right to be worshiped except Allāh]) is a charity, every Takbeerah (saying “Allāhu Akbar” [Allāh is Greater]) is a charity, and enjoining the good is a charity, and forbidding the evil is a charity. However, a sufficient substitute for all of this is to offer two Rak‘ahs at the time of Dhuhā.” (Muslim no. 720)
It was also reported in Saheeh Muslim by ‘Ā’ishah, may Allāh be pleased with her, that every person was created with three hundred and sixty joints, and he who does an equivalent number of acts of Sadaqah (charity), will walk on that day (i.e. the day of judgment) having distanced himself from Hellfire. (Muslim, no. 1007)