Use Following expression to append date and time at the time of package execution with the file name.
"D:\output\LogFile"
+ (DT_WSTR, 50)(DT_DBDATE)GETDATE()+"#"
+(DT_STR,2,1252)DATEPART("hh",GETDATE())+"-"
+(DT_STR,2,1252)DATEPART("mi" ,GETDATE())+"-"
+(DT_STR,2,1252)DATEPART("ss",GETDATE())
+".txt"
Evaluated Expression would look some thing like this:
D:\output\LogFile2012-01-17#12-11-54.txt
Using Variable:
@[User::OutputFileLocation] : Variable to hold file location
@[User::OutputFileName] : Variable to hold file name
Expression:
@[User::OutputFileLocation]
+ @[User::OutputFileName]
+ (DT_WSTR, 50)(DT_DBDATE)GETDATE()+"#"
+(DT_STR,2,1252)DATEPART("hh",GETDATE())+"-"
+(DT_STR,2,1252)DATEPART("mi" ,GETDATE())+"-"
+(DT_STR,2,1252)DATEPART("ss",GETDATE())
+".txt"
Hope it Helps 🙂
SSIS and Sql Server Journey 
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This is exactly what i needed.
Sure as hell helped and great post.
Hi All,
i want to ZIP the file with same file name.
Please help me.
@[User::OutputFileLocation]
+ @[User::OutputFileName]
+ (DT_WSTR, 50)(DT_DBDATE)GETDATE()+”#”
+(DT_STR,2,1252)DATEPART(“hh”,GETDATE())+”-”
+(DT_STR,2,1252)DATEPART(“mi” ,GETDATE())+”-”
+(DT_STR,2,1252)DATEPART(“ss”,GETDATE())
+”.txt”
For the above file name like (ABC_20140528_132950.txt)
I want to Zip this file with same file name(ABC_20140528_132950.txt.zip) in different location.
I think u can use script component for this. Search for .Net code online to achieve this. U will surely find some help.