While driving engine shuts off when it is hot outside

Hi and thanks for using 2CarPros.com.

This could be the result of several things. However, one thing you mentioned leads me in the direction of a crankshaft position sensor. You said when it cools down, it will restart. What I would like for you to do first is read through the following link. It discusses symptoms of a bad sensor. Take not that a bad sensor may not always a trouble code.

https://www.2carpros.com/articles/symptoms-of-a-bad-crankshaft-sensor

If you find the sensor is the issue, here are general directions for replacement:

https://www.2carpros.com/articles/crankshaft-angle-sensor-replacement

If you determine the sensor is bad, here are directions specific to your vehicle for replacing the sensor. Pictures 1 and 2 correlate with these directions.

2001 Honda Civic DX Coupe L4-1668cc 1.7L SOHC MFI
Procedures
Vehicle Powertrain Management Sensors and Switches - Powertrain Management Sensors and Switches - Computers and Control Systems Crankshaft Position Sensor Service and Repair Procedures
PROCEDURES
CKP Sensor Replacement
1. Remove the grommet (A) from the upper cover, and disconnect the camshaft position (CMP) (top dead center (TDC)) sensor connector (B).
2. Remove the upper cover (C) and lower cover (D).
3. Disconnect the crankshaft position (CKP) sensor connector, then remove the CKP sensor from the oil pump.
4. Install the CKP sensor in reverse order of removal.

I hope this is helpful. Let me know if you have other questions or need additional help.

Take care,
Joe