First try using a silicone caulk around the outside of the door.
Front door leaking.
Leaking exterior doors are a common problem affecting building owners and tenants causing property damage and requiring expensive repairs.
6 rain hitting threshold and running down door face is splashing seeping under door on top of the threshold.
Find out how to fix a leak above the front door.
If the leak persists take the siding off of the front of the house right above the door and properly seal the door with new.
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The most common cause of this is that the flashing above the front door on the outside of your home is breaking down and that s why the water is getting in.
Designers and builders are aware of the issue.
Solution is a tight bottom sweep doorseal and a rain splashguard or dripcap on the bottom outer face of door like the following link the type i use unless a fancy appearing one is desired easy to diy on most doors.