diff --git a/rally/consts.py b/rally/consts.py
index 028d5a87dd..9dad5d757f 100644
--- a/rally/consts.py
+++ b/rally/consts.py
@@ -24,7 +24,7 @@ for each enum. (e.g. TaskStatus)
 from rally.common import utils
 
 
-JSON_SCHEMA = "http://json-schema.org/draft-04/schema"
+JSON_SCHEMA = "http://json-schema.org/draft-07/schema"
 
 
 class _TaskStatus(utils.ImmutableMixin, utils.EnumMixin):
diff --git a/rally/plugins/common/runners/rps.py b/rally/plugins/common/runners/rps.py
index 64bc0134f1..ad4eef69da 100644
--- a/rally/plugins/common/runners/rps.py
+++ b/rally/plugins/common/runners/rps.py
@@ -160,7 +160,7 @@ class RPSScenarioRunner(runner.ScenarioRunner):
                         "description": "Generate constant requests per second "
                                        "during the whole workload.",
                         "type": "number",
-                        "exclusiveMinimum": True,
+                        "exclusiveMinimum": 0,
                         "minimum": 0
                     },
                     {
diff --git a/rally/plugins/common/sla/iteration_time.py b/rally/plugins/common/sla/iteration_time.py
index b389634d0a..d423f4355c 100644
--- a/rally/plugins/common/sla/iteration_time.py
+++ b/rally/plugins/common/sla/iteration_time.py
@@ -26,7 +26,7 @@ from rally.task import sla
 class IterationTime(sla.SLA):
     """Maximum time for one iteration in seconds."""
     CONFIG_SCHEMA = {"type": "number", "minimum": 0.0,
-                     "exclusiveMinimum": True}
+                     "exclusiveMinimum": 0.0}
 
     def __init__(self, criterion_value):
         super(IterationTime, self).__init__(criterion_value)
diff --git a/rally/plugins/common/sla/max_average_duration.py b/rally/plugins/common/sla/max_average_duration.py
index ff7e53ce82..beb823015d 100644
--- a/rally/plugins/common/sla/max_average_duration.py
+++ b/rally/plugins/common/sla/max_average_duration.py
@@ -27,7 +27,7 @@ from rally.task import sla
 class MaxAverageDuration(sla.SLA):
     """Maximum average duration of one iteration in seconds."""
     CONFIG_SCHEMA = {"type": "number", "minimum": 0.0,
-                     "exclusiveMinimum": True}
+                     "exclusiveMinimum": 0.0}
 
     def __init__(self, criterion_value):
         super(MaxAverageDuration, self).__init__(criterion_value)
diff --git a/rally/plugins/common/sla/outliers.py b/rally/plugins/common/sla/outliers.py
index 750d5653e2..ff9deb9f2c 100644
--- a/rally/plugins/common/sla/outliers.py
+++ b/rally/plugins/common/sla/outliers.py
@@ -38,7 +38,7 @@ class Outliers(sla.SLA):
             "max": {"type": "integer", "minimum": 0},
             "min_iterations": {"type": "integer", "minimum": 3},
             "sigmas": {"type": "number", "minimum": 0.0,
-                       "exclusiveMinimum": True}
+                       "exclusiveMinimum": 0.0}
         },
         "additionalProperties": False,
     }
diff --git a/rally/task/utils.py b/rally/task/utils.py
index 4246fe1083..74598920bf 100644
--- a/rally/task/utils.py
+++ b/rally/task/utils.py
@@ -326,7 +326,7 @@ class ActionBuilder(object):
     ITEM_TEMPLATE = {
         "type": "integer",
         "minimum": 0,
-        "exclusiveMinimum": True,
+        "exclusiveMinimum": 0.0,
         "optional": True
     }
 
diff --git a/requirements.txt b/requirements.txt
index 329da412eb..340bfcafb2 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -6,7 +6,7 @@
 alembic                                                # MIT
 decorator                                              # new BSD License
 Jinja2                                                 # BSD
-jsonschema<3.0.0                                       # MIT
+jsonschema                                             # MIT
 netaddr                                                # BSD
 oslo.config!=4.3.0,!=4.4.0                             # Apache Software License
 # do not forget to remove `testresources` from test-requirements. it is a
diff --git a/upper-constraints.txt b/upper-constraints.txt
index 89b95b7900..50d198a411 100644
--- a/upper-constraints.txt
+++ b/upper-constraints.txt
@@ -17,7 +17,7 @@ idna==2.6
 ipaddress==1.0.19
 iso8601==0.1.12
 Jinja2==2.10
-jsonschema==2.6.0
+jsonschema==3.0.1
 linecache2==1.0.0
 Mako==1.0.7
 MarkupSafe==1.0