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BOTH batteries new? and also could be oil dripping onto starter causing it to get weak. Check your heat grid in intake for operation and with a diesel you should always keep them plugged in when temps get cold out. Check out cumminsforum.com

NOTICE: CUMMINS DO NOT HAVE GLOW PLUGS!

EDIT #2 Contrary to what is said below, here is a paragraph from wikipedia reguarding the cummins b series engines used in the dodge pickups.

Dodge Ram 6BT

Appearing in the 1989-1998 Dodge Ram pickup truck, it quickly became a popular alternative to the large V8 gasoline engines normally used in full-size pickup trucks, while producing nearly double the torque at low engine speeds. The 6BT was also made popular for its fuel mileage over gasoline engine counterparts, roughly doubling fuel mileage in some applications. Further adding to the 6BT popularity in the Dodge Ram was the fact that it was the only diesel pickup, during the time, that featured Direct Injection and didn't rely on glow plugs for cold weather start up.

93 Dodge Cummins

Try Cummins diesel. There is no Dodge Cummins Diesel Only a Cummins in a Dodge.

Start by checking the battery. Even brand new ones can be bad. If the battery checks out, find out what is slowing the engine in the cold. Perhaps too thick a grade of oil? When things get too cold, most diesels need to have the block heater plugged in, have you done that?

Busted72 when did they get rid of the glow plugs, my '92 had them. It would help to plug it in.

Regardless, glow plugs or not, the hard starting can be caused by oil that is too thick, or a bad starter.The intake air heater is also not an issue as it does not come on unless the engine is running.

Re-check the battery, and check the voltage drop when cranking, it should not be less than 10 volts. If the voltage drops lower than 10 the starter is at fault.

This is similar to what my diesel does. Over time your glow plugs get wore out. the glow plugs are elements fixed to the block of your engine and when activated warm you block and the fluids in it. Your truck should have a "block heater" that needs to be plugged in to prevent this cold start from being an issue. If you ever get stuck in a bind and need to get her going quickly spray a little starting fluid in the air intake. Its effective but I don't recommend it alot.

Theres your best answer.

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I'll assume the Cummins is the diesel engine... Doesn't it have glow-plugs that help ignition on cold mornings? Diesels in the UK do.

They have heater to heat the incoming air charge that work great normally. Time to have it looked at.

cuz its a deisel. you need to plug it in at night to keep it warm