Check your igntion coil, mine is on the passenger side under hood in my 1986.
Well I found this.......warning...I am not a mechanic!!
Found this for you to read:
•The Hall Effect sensor - this can fail and not set an error code. However, if the computer gets no data from the Hall Effect sensor, it will assume that the engine is not turning, and will not provide any fuel. This is an inexpensive gadget that sits underneath the rotor, in the distributor cap, on cars without distributorless ignition (so this doesn't apply to cars made after about 1996). A good first step and not hard to replace, even for beginners.
*◦The Auto Shutdown Relay (ASD) - actually, this rarely breaks, but when it does, the engine stays off. One purpose of the auto shutdown relay is to avoid "dieselling." It kills all fuel delivery and spark. The ASD can be triggered by a broken wire or short in another place -e.g. the fuel pump.
◦The MAP sensor - another frequent cause of stalling or non-starting. This measures the air pressure in the manifold. It is usually mounted on a fender, costs around $25, and is easy to replace. You can test it - if your car won't start, just unplug the electrical connection from the MAP sensor. If it starts, replace the sensor. MAP sensor details. (It may act as though the fuel pump is not working properly - starting, then quickly dying).
◦There is a relay between the computer (PCM) and coil, at least on the 2.2/2.5 TBI, that costs about $12. If it fails, mechanics may try replacing the computer
◦...and, of course, the starter relay - often this goes and it is misdiagnosed as the starter itself, the computer, etc.
◦Fusible links: John Auto Tech wrote, "try checking the fuseable links located by the drivers side strut tower. Give each one a [gentle] tug to see if one stretches like a rubber band."
◦Loose or dirty computer or battery connections - surprisingly common! Or (on vintage cars) check the hot wire going into the firewall plug... on the other side the wire goes to the fuse box then to the dash- when it goes to the dash it goes to the alt meter... it is a simple fix and one that should be checked. (It is also a good place for a fire - you've got loose hot wires and lots of loose insulation)
◦The idle speed motor - this can, for example, cause stalling when the engine is cold, but not when hot. If you replace the idle air control motor (IAC), also clean the throttle body and reset the computer (you can just disconnect the battery for a few minutes). This problem can also affect newer cars such as the Neon which have no distributor.
◦Plugged exhaust (e.g. catalytic converter). F.J. MacFarlane wrote about this, noting that most or all US 2.2 carburted engines had two converters in series.
◦Clogged fuel filter or fuel line - this can be under the hood or in the tank. Similar symptoms can be caused by a weak fuel pump. There are, incidentally, two types of fuel pressure test: one which tests an instant of pressure, and a more sustained test. The latter can often solve stumble and stall problems that occur at highway speeds or under acceleration.
◦Spark plug wires - Rosegate noted that a problem with missing cylinders was resolved by changing the wires. A dealer failed to solve the problem, charging $130 apparently to change a single wire. You can do this yourself in ten minutes; you can get very high quality wires for $40 (four cylinders).
◦Fuel line cracks - it happens, and they can be hard to find. Turbo engines should be periodically and carefully inspected for leaking fuel lines, due to their higher fuel pressures. Small, hard to see fuel line cracks can cause stalling and non-starting. Check not just the main fuel line but also delivery lines that feed individual injectors (thanks, R. Jake Carr).
http://www.allpar.com/fix/stall.html