diff --git a/jobs/swh-packages.yaml b/jobs/swh-packages.yaml
--- a/jobs/swh-packages.yaml
+++ b/jobs/swh-packages.yaml
@@ -164,3 +164,6 @@
     pkg: web
     jobs:
       - 'swh-jobs-{name}'
+      - '{name}/cypress'
+      - '{name}/cypress/diff'
+
diff --git a/jobs/templates/swh-cypress.groovy b/jobs/templates/swh-cypress.groovy
new file mode 100644
--- /dev/null
+++ b/jobs/templates/swh-cypress.groovy
@@ -0,0 +1,85 @@
+pipeline {{
+
+  agent {{
+    agent {{ label '{docker-image}' }}
+  }}
+
+  environment {{
+    PHAB_CONDUIT_URL = 'https://forge.softwareheritage.org/api/'
+  }}
+
+  stages {{
+
+    stage('Checkout') {{
+      steps {{
+        withCredentials([
+          string(credentialsId: 'swh-public-ci',
+                  variable: 'PHAB_CONDUIT_TOKEN')]) {{
+            sh '''
+            if [ -n "$PHID" ]; then
+              python3 -m pyarcanist send-message work $PHID
+            fi
+            '''
+        }}
+        checkout([$class: 'GitSCM',
+                  branches: [[name: "${{params.REVISION}}"]],
+                  doGenerateSubmoduleConfigurations: false,
+                  extensions: [],
+                  gitTool: 'Default',
+                  submoduleCfg: [],
+                  userRemoteConfigs: [[url: 'https://forge.softwareheritage.org/source/{display-name}.git']]
+                ])
+      }}
+    }}
+
+    stage('Setup environment') {{
+      steps {{
+        sh '''#!/bin/bash
+        python3 -m venv /swh-web-env
+        source ~/swh-web-env/bin/activate
+        pip3 install wheel
+        pip3 install -e .[testing]
+        yarn install && yarn build-dev && yarn run cypress install
+        '''
+      }}
+    }}
+
+    stage('Run cypress tests') {{
+      steps {{
+        sh '''#!/bin/bash
+        source ~/swh-web-env/bin/activate
+        export PYTHONPATH=$PWD
+        python3 swh/web/manage.py migrate
+        python3 swh/web/manage.py createcachetable
+        python3 swh/web/manage.py runserver --nostatic --settings=swh.web.settings.tests &
+        wait-for-it localhost:5004
+        yarn run cypress run
+        '''
+      }}
+    }}
+
+  }}
+
+  post {{
+    always {{
+      withCredentials([
+        string(credentialsId: 'swh-public-ci',
+              variable: 'PHAB_CONDUIT_TOKEN')]) {{
+        withEnv(["JOBSTATUS=${{currentBuild.currentResult}}"]) {{
+          sh '''
+          if [ "$JOBSTATUS" = "SUCCESS" ]; then
+            MSGTYPE=pass
+          else
+            MSGTYPE=fail
+          fi
+          echo "Current job status is $JOBSTATUS -> $MGSTYPE"
+          if [ -n "$PHID" ]; then
+            python3 -m pyarcanist send-message $MSGTYPE $PHID
+          fi
+          '''
+        }}
+      }}
+    }}
+  }}
+
+}}
\ No newline at end of file
diff --git a/jobs/templates/swh-cypress.yaml b/jobs/templates/swh-cypress.yaml
new file mode 100644
--- /dev/null
+++ b/jobs/templates/swh-cypress.yaml
@@ -0,0 +1,80 @@
+- job-template:
+    name: "{name}/cypress"
+    display-name: "master branch (cypress)"
+    project-type: pipeline
+    docker-image: swh-cypress
+    triggers:
+      - timed: '@daily'
+    sandbox: true
+    auth-token: 'ph4br1cat0r'
+    properties:
+      - build-discarder:
+          num-to-keep: 20
+    parameters:
+      - git-parameter:
+          name: REVISION
+          type: PT_REVISION
+          defaultValue: master
+          description: Git revision to build.
+      - string:
+          name: PHID
+          description: PHID of the Phabricator target object on which results will be reported.
+
+    dsl:
+      !include-raw: swh-cypress.groovy
+
+
+- job-template:
+    name: "{name}/cypress/diff"
+    display-name: 'Phab. Diff (cypress)'
+    docker-image: swh-cypress
+    node: "{docker-image}"
+    auth-token: ph4br1cat0r
+    parameters:
+      - string:
+          name: REPO
+          description: PHID of the Diffusion repository
+      - string:
+          name: PHID
+          description: PHID of the Target object
+      - string:
+          name: DIFF_ID
+          description: ID of the Diff patch to apply, if any
+    scm:
+      - git:
+          url: https://forge.softwareheritage.org/source/{display-name}.git
+
+    wrappers:
+      - phabricator-differential:
+          apply-to-master: true
+          patch-with-force-flag: true
+
+
+    builders:
+      - shell: |
+          echo "Run cypress for:"
+          echo "  REPO=$REPO"
+          echo "  PHID=$PHID"
+          echo "  DIFF_ID=$DIFF_ID"
+      - shell: |
+          #!/bin/bash
+          python3 -m venv ~/swh-web-env
+          source ~/swh-web-env/bin/activate
+          pip3 install wheel
+          pip3 install -e .[testing]
+          yarn install && yarn build-dev && yarn run cypress install
+          export PYTHONPATH=$PWD
+          python3 swh/web/manage.py migrate
+          python3 swh/web/manage.py createcachetable
+          python3 swh/web/manage.py runserver --nostatic --settings=swh.web.settings.tests &
+          wait-for-it localhost:5004
+          yarn run cypress run
+
+    publishers:
+      - phabricator:
+          uberalls-enabled: false
+          comment-on-success: true
+          comment-with-console-link-on-failure: true
+          process-lint: true
+          lint-file: .phabricator-lint
+          lint-file-size: 1000000
diff --git a/jobs/templates/swh-pypi.groovy b/jobs/templates/swh-pypi.groovy
--- a/jobs/templates/swh-pypi.groovy
+++ b/jobs/templates/swh-pypi.groovy
@@ -32,6 +32,23 @@
       }}
     }}
 
+    stage('Run cypress tests') {{
+      when {{
+        expression {{ '{display-name}' == 'swh-web' && !params.SKIP_TESTS }}
+        beforeAgent true
+      }}
+      agent none
+      steps {{
+        build(
+          job: '/{name}/cypress',
+          parameters: [
+            string(name: 'REVISION', value: params.GIT_TAG),
+          ],
+          propagate: !params.IGNORE_TESTS,
+        )
+      }}
+    }}
+
     stage('Checkout') {{
       steps {{
         checkout([$class: 'GitSCM',