I have a 2006 eclipse. It shut down while driving, put fuel in it.And it will not start.

There could be a problem with the security system or the main computer could have a burnt spot or a crack in the board. Had an issue a few years back with a Dodge Dakota will run fine when a computer got hot it would shut down. I would take it and have it put on a scanner to see if there is any codes then go from there

Check for fuel restriction. Sock inside tank (maybe stopping up), fuel filter dirty, fuel pump.

Fuel pump

- to check fuel pump/relay- with drivers door open - radio off - insert key and turn from OFF to RUN-not start- should hear a hum from under car back towards tank- relay is under hood in second fuse/relay panel
? did you hit a bump just before car shut off? - if so look in manual for location of EMERGENY FUEL CUTOFF- usually in trunk area- large red push button- can trip sometimes with a hard enough jolt

Most likely low fuel pressure due to blocked fuel pump,orblocked catalytic converter
possible mass air flow sensor.

see my troubleshooting tip at http://www.fixya.com/cars/r5821173-doesnt_car_start_gasoline_engines

replace the fuel filter first.

It sounds like your fuel pump relay needs to be replaced. $10.00 part at AutoZone.

Battery is dead... get a volt meter, jump the car and with the car running on its own power check the voltage, anything less than 12v could point to an alternator but a new battery is a better place to start. put it to you this way if the car shuts off while driving, then its your alt, and if its fine wen drivin but wont start back up... its all battery

Could have been jacked up at wrong location at crimped the fuel line. Or the car's fuel shut-off switch my have been tripped. Hope this info is helpful. Good luck