The church issued "The Family: A Proclaimation to the world" in 2000 and it states that a family is to consist of one man and one woman

The Church publishes a pamphlet called,"God Loveth His Children", which addresses the subject

In a interview titled Same Gender Attraction Elder Oaks And Elder Wickman address this question this quote is the last paragraph of the twelve page interview, It summarizes the churches views on this topic. 
Elder Oaks 
"God loves all of His children. He has provided a plan for His children to enjoy  
the choicest blessings that He has to offer in eternity. Those choicest blessings are associated with marriage between a man and a woman by appropriate priesthood authority to bring together a family unit for creation and happiness in this life and in the life to come.  
We urge persons with same-gender attractions to control those and to refrain from acting upon them, which is a sin, just as we urge persons with heterosexual attractions to refrain from acting upon them until they have the opportunity for a marriage recognized by God as well as by the law of the land. That is the way to happiness and eternal life. God has given us no commandment that He will not give us the strength and power to observe. That is the Plan of Salvation for His children, and it is our duty to proclaim that plan, to teach its truth, and to praise God for the mission of His Son Jesus Christ. It is Christ’s atonement that makes it possible for us to be forgiven of our sins and His resurrection that gives us the assurance of immortality and the life to come. It is that life to come that orients our views in mortality and reinforces our determination to live the laws of God so that we can qualify for His blessings in immortality."Same Gender AttractionSame Gender Attractionnull

The Family: A Proclaimation to the world, says marriage is between a man and a woman. 
Homosexuality is out of the picture. In the book "True to the Faith" it says (under the topic chastity) "If you find yourself struggling with sexual temptations, including feelings of same-gender attraction, do not give in to those temptations. Be assured that you can choose to avoid such behavior. You can receive the Lord's help as you pray for strength and work to overcome the problem. As part of this process, you should seek counsel from you bishop or branch president. He will help you." 
Homosexuality is not the way God wants us to live. If one struggles with it, no matter how difficult, he or she can receive help. We all have agency, and one does not have to give into those urges. 
It's also important that we as members do not judge others.

We believe that homosexual actions and thoughts is a sin. Because it is a sin, that means it is a choice. 
 
The church's stance is not all negative, however. There are groups like Evergreen International that members with homosexual tendencies can join to help them cope and overcome their problems.