Copy and paste only nonblank cells

One of the solutions is to use a Filter:

   1.   Select the cells, including the blank and non-blank cells that you wish to paste.

   2.   On the Home tab, in the Editing group, select Sort & Filter and then choose Filter (or click Ctrl+Shift+L):

   3.   A drop-down should appear in the first cell of your range.

Click on this drop-down.

   4.   De-select the (Blanks) option and then click on the OK button:

   5.   You can see now only non-blank cells; select them:

   6.   Now, you can copy and paste anywhere the series of cells without blank cells:

See also this tip in French: Comment copier et coller uniquement les cellules non vides.