diff --git a/testsuite/README.md b/testsuite/README.md
index b120d2af..99207ee7 100644
--- a/testsuite/README.md
+++ b/testsuite/README.md
@@ -1 +1,18 @@
-This directory contains the CONQUEST test suite.
+# CONQUEST test suite.
+
+This directry currently contains two end-to-end tests
+
+  - `test_001_bulk_Si_1proc_Diag`
+  - `test_002_bulk_Si_1proc_OrderN`
+
+for Conquest, and a simple python pytest script for checking the correctness of the outputs.
+
+## Usage
+
+To run the tests
+
+  1. Compile Conquest with `make` in `../src`
+  2. Run the `Conquest` executable in the subdirectories named `test_00*`
+  3. Check the correctness of the outputs with `pytest`
+
+These steps can be run automatically using the script `run_conquest_test.sh` in this directry.
diff --git a/testsuite/run_conquest_tests.sh b/testsuite/run_conquest_tests.sh
new file mode 100755
index 00000000..5916ae63
--- /dev/null
+++ b/testsuite/run_conquest_tests.sh
@@ -0,0 +1,22 @@
+#!/bin/bash
+
+# This script checks if the Conquest executable exists in ../bin and
+# compiles it if it does not exist. Then it executes all tests found
+# in directories named test_000_* to test_999_*, and runs pytest to
+# check the results using test_check_output.py
+#
+# You can pass in the number of parallel processes as a command line
+# argument, by default it is 1.
+
+NP=${1:-1}
+FILE=../bin/Conquest
+if [ ! -f "$FILE" ]; then
+    (cd ../src; make -j $NP)
+fi
+
+for dn in $(ls -d test_[0-9][0-9][0-9]_*)
+do
+    (cd $dn; mpirun -np $NP  ../../bin/Conquest)
+done
+
+pytest test_check_output.py