Send data from ESP8266 to arduino through rx tx ports

How can I send data from esp8266 01 to arduino through rx tx ports. I want to get appropriate message from esp to arduino when I pass control from webserver. I am getting esp response to web, but cannot read message send through tx .

and do not use Serial in Arduino for prints to Serial Monitor. it is connected to rx, tx too

If you have a 5V Arduino, you will need a level shifter on the Arduino (5V) TX output to the ESP RX input to prevent damage to the ESP. A voltage divider will do. The examples mentioned by Delta_G should show how.