There is not – as far as we know – any du’aa’ specifically for this matter that has been reported from the Prophet (peace and blessings of Allaah be upon him), but you can pray to Allaah to bless you with a righteous spouse.
The Prophet (peace and blessings of Allaah be upon him) taught us Du’aa’ al-Istikhaarah, which means asking Allaah to choose for us that which is best for our religious and worldly interests in all matters, religious and worldly.
This du’aa’ was narrated by Jaabir ibn ‘Abd-Allaah (may Allaah be pleased with him) who said: the Messenger of Allaah (peace and blessings of Allaah be upon him) used to teach us to seek guidance (istikhaarah) in all our affairs, just as he would teach us a Soorah from the Qur’aan. He said: “Whenever any one of you is concerned about a matter, let him pray two rak’ahs of non-obligatory prayer, then let him say:
‘Allaahumma inni astakheeruka bi ‘ilmik, wa astaqdiruka bi qudratik, wa as’aluka min fadlik il-‘azeem. Fa innaka taqdiru wa laa aqdir, wa ta’lamu wa laa a’lam, wa anta ‘allaamu’l-ghuyoob. Allaahumma in kunta ta’lam anna [haadha’l-amr] khayrun li fi deenee wa ma’aashi wa ‘aaqibati amri, faqdurhu li, wa yassirhu li, thumma baarik li fih. Wa in kunta ta’lam anna [hadha’l-amr] sharrun li fi deenee wa ma’aashi wa ‘aaqibati ‘amri, fasrifhu ‘anni wasrifni ‘anhu waqdur li al-khayr haythu kaan. Thumma ardeeni bih'
(O Allaah, I seek Your guidance (in making a choice) by virtue of Your knowledge, and I seek ability by virtue of Your power, and I ask You of Your great bounty. You have power, I have none. And You know, I know not. You are the Knower of hidden things. O Allaah! If in Your knowledge, (this matter [ – and he should mention it here]) is good for my religion, my livelihood and my affairs, immediate and in the distant future, ordain it for me, make it easy for me and bless it for me. And if in Your knowledge (this matter [ – and he should mention it here]) is bad for my religion, my livelihood and my affairs, immediate and in the distant future, then turn it away from me, and turn me away from it, and ordain for me the good wherever it may be, and make me pleased with it).’” (Narrated by al-Bukhaari, 1109).
There is nothing which it is more important for both parties to focus on than religious commitment and attitude.
With regard to the husband, the Prophet (peace and blessings of Allaah be upon him) advised the guardians (walis) of women:
“If there comes to you one whose attitude and commitment to religion pleases you, then marry him (to your female relative), for if you do not do that, there will be much trouble and corruption in the land.” (Narrated by al-Tirmidhi, 1084; Ibn Maajah, 1967)
With regard to the wife, the Prophet (peace and blessings of Allaah be upon him) gave the following advice:
“Women are married for four things: wealth, lineage, beauty and religious commitment. Marry the one who is religious, may your hands be rubbed with dust! (i.e., may you prosper). (Narrated by al-Bukhaari, 4802; Muslim, 1466).
Al-Haafiz ibn Hajar said: the meaning is that what is appropriate for the man who is religious and chivalrous is that religion must be the ultimate focus in all things, and especially with regard to the choice of a lifelong companion. So the Prophet (peace and blessings of Allaah be upon him) commanded him to seek a religious woman, since religion is his ultimate goal.” (Fath al-Bari, 9/135).