1. Frequent supplication when fasting and breaking fast. The Prophet mentioned among the three whose supplication isn’t rejected by Allah: “the fasting person until they break their fast.” [Tirmidhi & Ibn Maja] Make a lot of supplication while fasting and at the time of breaking the fast (iftar). Make the Prophetic supplications–and your own, as well.
2. Three sunna supplications when breaking the fast
ذَهَبَ الظَّمأُ، وابْتَلَّتِ العُرُوقُ، وَثَبَتَ الأجْرُ إِنْ شاءَ اللَّهُ تَعالى
“The thirst is gone, the veins are moistened, and the reward is established–if Allah wills (dhahaba’d dhama’ wa’btallati’l `uruq wa thabata’l ajru in sha’ Allah).” [Abu Dawud]
الحَمْدُ لِلَّهِ الَّذي أعانَنِي فَصَمْتُ، وَرَزَقَنِي فأفْطَرْتُ
“All praise is due to Allah who assisted me, so I fasted; and who provided me, so I could break my fast (al-hamdu li’l Llah alladhi a`anani fa-sumt, wa razaqani fa-aftart).” [Ibn al-Sunni]
اللَّهُمَّ لَكَ صُمْنا، وَعلى رِزْقِكَ أَفْطَرْنا، فَتَقَبَّلْ مِنَّا إنَّكَ أنْتَ السَّمِيعُ
“Allah, for you we fast, and by your provision, we break our fast. So accept from us, for You are indeed Hearing (Allahumma laka sumna, wa `ala rizqika aftarna, fa-taqabbal minna, innaka anta’s Samee`).” [Ibn al-Sunni]
3. Make your own supplication, asking Allah for the highest of matters in your life and religion. The Prophet (peace be upon him) said, “The one fasting has a supplication at the time of breaking fast that will not be rejected.” [Ibn Maja] Ibn Ata’illah said: “The best of what you can seek from Allah is what He seeks from you.” Seek Allah’s closeness, love, pleasure, contentment, intimacy, and beholding. And ask for all your worldly needs. It is recommended to make plentiful supplication for the needs and concerns of others–family, friends, community, the umma, and all creation–both in general and in specific.
4. When breaking fast with others, say:
أفْطَرَ عِنْدَكُمُ الصَّائِمُونَ، وأكَلَ طَعَامَكُمُ الأبْرَارُ، وَصَلَّتْ عَلَيْكُمُ المَلاَئِكَةُ
“May fasting people [continue to] break their fast with you; may the virtuous eat your food; and may the angels bless you (aftara `indakum as-sa’imun, wa akala ta`amakumu’l abrar, wa sallat `alaykumu’l mala’ika).” [Abu Dawud, Nasa’i]
5. In seeking Laylat al-Qadr, say:
اللَّهُمَّ إنَّكَ عَفُوٌّ تُحِبُّ العَفْوَ فاعْفُ عَنِّي
“Allah, you are the Forgiving and love to forgive, so forgive me.” [Tirmidhi, Nasa’i, Ibn Maja] It is recommended to recite this dua regularly, particularly (but not only) in the last ten days–by day and night.
Finally, remember Allah’s reminder:
“If My servants ask you regarding Me, I am indeed Near. I answer the call of those who call upon Me when they call. So let them answer My call and let them believe in believe in Me–in order that they be truly guided.” [Qur’an, 2.186]
Source: http://seekershub.org/blog/2012/07/prophetic-supplications-for-fasting/