diff --git a/pkg/api/types.go b/pkg/api/types.go
index fb3becbea..dd74c94ff 100644
--- a/pkg/api/types.go
+++ b/pkg/api/types.go
@@ -52,8 +52,8 @@ type Namespaces struct {
 }
 
 // Besides Namespaces only one of its members may be specified
-// TODO(jchaloup): move Namespaces to individual strategies once the policy
-// version is bumped to v1alpha2
+// TODO(jchaloup): move Namespaces ThresholdPriority and ThresholdPriorityClassName to individual strategies
+//  once the policy version is bumped to v1alpha2
 type StrategyParameters struct {
 	NodeResourceUtilizationThresholds *NodeResourceUtilizationThresholds
 	NodeAffinityType                  []string
@@ -61,6 +61,8 @@ type StrategyParameters struct {
 	MaxPodLifeTimeSeconds             *uint
 	RemoveDuplicates                  *RemoveDuplicates
 	Namespaces                        Namespaces
+	ThresholdPriority                 *int32
+	ThresholdPriorityClassName        string
 }
 
 type Percentage float64
diff --git a/pkg/api/v1alpha1/types.go b/pkg/api/v1alpha1/types.go
index aa1f60c8d..d672d9bea 100644
--- a/pkg/api/v1alpha1/types.go
+++ b/pkg/api/v1alpha1/types.go
@@ -51,7 +51,7 @@ type Namespaces struct {
 	Exclude []string `json:"exclude"`
 }
 
-// Besides Namespaces only one of its members may be specified
+// Besides Namespaces ThresholdPriority and ThresholdPriorityClassName only one of its members may be specified
 type StrategyParameters struct {
 	NodeResourceUtilizationThresholds *NodeResourceUtilizationThresholds `json:"nodeResourceUtilizationThresholds,omitempty"`
 	NodeAffinityType                  []string                           `json:"nodeAffinityType,omitempty"`
@@ -59,6 +59,8 @@ type StrategyParameters struct {
 	MaxPodLifeTimeSeconds             *uint                              `json:"maxPodLifeTimeSeconds,omitempty"`
 	RemoveDuplicates                  *RemoveDuplicates                  `json:"removeDuplicates,omitempty"`
 	Namespaces                        Namespaces                         `json:"namespaces"`
+	ThresholdPriority                 *int32                             `json:"thresholdPriority"`
+	ThresholdPriorityClassName        string                             `json:"thresholdPriorityClassName"`
 }
 
 type Percentage float64
diff --git a/pkg/api/v1alpha1/zz_generated.conversion.go b/pkg/api/v1alpha1/zz_generated.conversion.go
index d2a58a2eb..e0f0cfc77 100644
--- a/pkg/api/v1alpha1/zz_generated.conversion.go
+++ b/pkg/api/v1alpha1/zz_generated.conversion.go
@@ -249,6 +249,8 @@ func autoConvert_v1alpha1_StrategyParameters_To_api_StrategyParameters(in *Strat
 	if err := Convert_v1alpha1_Namespaces_To_api_Namespaces(&in.Namespaces, &out.Namespaces, s); err != nil {
 		return err
 	}
+	out.ThresholdPriority = (*int32)(unsafe.Pointer(in.ThresholdPriority))
+	out.ThresholdPriorityClassName = in.ThresholdPriorityClassName
 	return nil
 }
 
@@ -266,6 +268,8 @@ func autoConvert_api_StrategyParameters_To_v1alpha1_StrategyParameters(in *api.S
 	if err := Convert_api_Namespaces_To_v1alpha1_Namespaces(&in.Namespaces, &out.Namespaces, s); err != nil {
 		return err
 	}
+	out.ThresholdPriority = (*int32)(unsafe.Pointer(in.ThresholdPriority))
+	out.ThresholdPriorityClassName = in.ThresholdPriorityClassName
 	return nil
 }
 
diff --git a/pkg/api/v1alpha1/zz_generated.deepcopy.go b/pkg/api/v1alpha1/zz_generated.deepcopy.go
index f9707bb1d..33321a5cd 100644
--- a/pkg/api/v1alpha1/zz_generated.deepcopy.go
+++ b/pkg/api/v1alpha1/zz_generated.deepcopy.go
@@ -243,6 +243,11 @@ func (in *StrategyParameters) DeepCopyInto(out *StrategyParameters) {
 		(*in).DeepCopyInto(*out)
 	}
 	in.Namespaces.DeepCopyInto(&out.Namespaces)
+	if in.ThresholdPriority != nil {
+		in, out := &in.ThresholdPriority, &out.ThresholdPriority
+		*out = new(int32)
+		**out = **in
+	}
 	return
 }
 
diff --git a/pkg/api/zz_generated.deepcopy.go b/pkg/api/zz_generated.deepcopy.go
index b8d8dc574..b337e6ae6 100644
--- a/pkg/api/zz_generated.deepcopy.go
+++ b/pkg/api/zz_generated.deepcopy.go
@@ -243,6 +243,11 @@ func (in *StrategyParameters) DeepCopyInto(out *StrategyParameters) {
 		(*in).DeepCopyInto(*out)
 	}
 	in.Namespaces.DeepCopyInto(&out.Namespaces)
+	if in.ThresholdPriority != nil {
+		in, out := &in.ThresholdPriority, &out.ThresholdPriority
+		*out = new(int32)
+		**out = **in
+	}
 	return
 }