It is reported that Fatimah died on the third of Jumada 'l-Akhirah in the eleventh year of thehijrah. She survived the Prophet by only ninety-five days. It is also reported that she survived him by four months.
The Commander of the Faithful ( `Ali) himself took charge of her washing. It is reported that Asma' daughter of `Umays assisted him in washing her. Asma' related: "Fatimah had stated in her will that no one should wash her corpse except 'Ali and I. Thus we washed her together, and the Commander of the Faithful prayed over her along with Hasan and Husayn, `Amman ibn Yasir, Miqdad, `Aqil, az-Zubayr, Abu Dharr, Salman, Buraydah and a few men of Banu Hashim. They prayed over her in the night, and in accordance with her own will 'Ali the Commander of the Faithful buried her in secret."
There is much disagreement among traditionists as to the exact spot of her grave. Our own traditionists have asserted that she was buried in the Baqi `. Others said that she was buried in her own chamber, and that when the Umayyad rulers enlarged the Mosque of Medina, her grave came to be in the sanctuary. Still others argued that she was buried between the grave and pulpit of the Prophet. It is to this that the Prophet alluded in his saying: "There is between my grave and pulpit a garden of the gardens of Paradise." The first view is unlikely, while the two other views are nearer to the truth. Thus, those who wish to apply the principle of caution (ihtiyat) when performing ziyarah, or pilgrimage, to her grave, should do so in all three places.
This is all that we wished to say concerning Muhammad, the Elect Prophet (al-Mustafa) and his daughter Fatimah, the Radiant (az-Zahra'). From Allah alone comes success.
source : http://www.islamicecenter.com