Here a code that works with windows office 2010. This script will ask you for input filtered range of cells and then the paste range.
Please, both ranges should have the same number of cells.
Sub Copy_Filtered_Cells()
Dim from As Variant
Dim too As Variant
Dim thing As Variant
Dim cell As Range
'Selection.SpecialCells(xlCellTypeVisible).Select
'Set from = Selection.SpecialCells(xlCellTypeVisible)
Set temp = Application.InputBox("Copy Range :", Type:=8)
Set from = temp.SpecialCells(xlCellTypeVisible)
Set too = Application.InputBox("Select Paste range selected cells ( Visible cells only)", Type:=8)
For Each cell In from
cell.Copy
For Each thing In too
If thing.EntireRow.RowHeight > 0 Then
thing.PasteSpecial
Set too = thing.Offset(1).Resize(too.Rows.Count)
Exit For
End If
Next
Next
End Sub
Enjoy!