SSIS: Foreach Loop Container

I think that it will order by filename, but I haven't tested it very much!  Try putting some files in named a.txt, b.txt, c.txt, etc., but don't add them to the folder in that order. Then see what you get.

To be certain of your order you could read then in in a foreach loop, placing them into a table. Then read the table in the proper order into an Object Variable, and have a ForEach loop read the object variable and not directly from the disk.

hth

Mike

The order of file loading is not predictable.  

If you require an ordered loading, I'd use the first ForEach loop to get all file names and insert them into a table.  
Then do a SQL Task to select that list, ordered by however you wish.
Then, go through a loop to set the source to that path-file, and load.