It depends on the church denomination. Some allow alcohol consumption while others do not.
There are three different categories of Christian denominations with regards to their position on alcohol: Moderationism, Abstentionism, Prohibitionism
This category of denominations believe that alcohol is a blessing of God that may be used in moderation rather than being shunned as a sin or unrighteous indulgence. They believe that drunkenness is destructive and that God calls us to avoid drunkenness.
Denominations that are generally Moderationist include:
- Lutherans 
- Reformed Churches: Presbyterian[2a], Christian Reformed [2b]
- Roman Catholics 
- Eastern Orthodox 
- Anglicans (The Church of England) 
- Jehovah’s Witnesses (not a mainline, fundamental Christian denomination) 
This category of denominations don’t believe that alcohol is inherently sinful but believe it is wise to avoid alcohol due to personal temptation of drunkenness, and the possibility that you may tempt another person to not drink responsibly. They believe that drunkenness is destructive and that God calls us to avoid drunkenness.
Denominations that are generally Abstentionists include:
- Baptist 
- Pentecostals 
- Methodists 
- Salvation Army 
This category of denominations believe that alcohol consumption is inherently sinful and therefore must be avoided on a moral basis. They believe that all Biblical references to moral drinking refer to unfermented grape juice. As time distances itself from the prohibition, many of these churches lean more towards Abstentionism, but still believe people should abstain from alcohol, and perhaps more strictly than historically Abstentionist denominations.
Denominations that are generally Prohibitionists include:
- Southern Baptist Convention 
- Seventh-Day Adventists (not a mainline, fundamental Christian denomination) 
- The Church of Jesus Christ of Latter Day Saints (not a mainline, fundamental Christian denomination) 
References  Lutherans: Luthern Church – Missouri Synod. “LCMS Frequently Asked Questions: Contemporary Issues” Retrieved 2014-06-09. http://www.lcms.org/Document.fdoc?src=lcm&id=576. “The Bible nowhere condemns the proper and responsible use (consumption) of alcoholic beverages, and neither does The Lutheran Church—Missouri Synod. Scripture does warn strongly and repeatedly against the abuse, misuse or excessive use of alcoholic beverages, and the Missouri Synod has also repeatedly warned against such dangers.”