I purchased a used Kenmore range #95301, and it seems that everything works but the oven. The broiler works, but when I turn the oven on, the controls light up, but there is no heat. What do I need to fix this problem?

Almost certainly a burned out element, so test with a multimeter after turning off the power.

Could also be;

Burned out connectors onto the element.
Fuse if it has them.
Switch control. (unlikely)

No, the top element was designed to only work on the broiler setting.

You could use the oven without the broiler. It is customary that the oven will use the broil element to even out the heat in the oven for better baking but you could use if. it just may not bake evenly. There could be two things that is causing the broil element to stay energized. the control is not shutting down or there is a short to ground in the broil element. Have the broil element tested, it could just need replacing. If it is in the control that is a bigger problem.

if lower element tests open with continuity meter then it for sure is bad. i would also check the wire ends that connect to the element and/or the control board, they could have loosened allowing a bad connection and low voltage to elementor burnt off.. most ovens do not use the broil element at all during the bake cycle, only during the broil cycle.. some however do utilize the broil element during baking, but at a lower wattage or something..
best of luck,
ttfn

i would say you have a bad board

i have a magic chef gas range. broiler work, burners work, fan works when you turn the oven on, but oven does not get hot. could it be the electronic ignitor or does even have one.

go to www.repairclinic.com enter model number and look for the igniter it seems to me you need to change this part. Note it is very fragile.

The problem is your bake ignitor. The following link explains:

http://www.fixya.com/support/r401858-replacing_oven_igniter_gas_range

The bake and broil oven features each have their own separate igniters and operate independently of one another. That explains why the broiler still works. They are, however, fed from the same gas source. So...the logical conclusion would be to replace your bake igniter (the no glowing is usually a dead give-away).

Replacements can be purchased on line at searspartsdirect.com, appliancepartspros.com, pcappliancerepair.com, or repairclinic.com. Prices can vary amongst sites, so shop around for the best price. The sites I provided to you, I found, tend to offer the best service and prices.

If you have questions along the way, or require addtional service, please let me know. I hope you find this information helpful.

YOU HAVE A SHORT ON THE BROIL CIRCUIT PROBABLY ON THE ELEMENT IT IS ELECTRIC CORRECT?

Range Oven Temperature Sensor Part Number WB20K0004 Sears PartsDirect
This will be why the oven acts up. The broiler doesn't rely as much on this as the bake part does. Replace this and it should fix your problem.

If you need further help, reach me via phone at https://www.6ya.com/expert/steven_a67ead41eb5fc62a