diff --git a/RecoHGCal/TICL/plugins/ClusterFilterByAlgoOrSize.h b/RecoHGCal/TICL/plugins/ClusterFilterByAlgoAndSize.h
similarity index 64%
rename from RecoHGCal/TICL/plugins/ClusterFilterByAlgoOrSize.h
rename to RecoHGCal/TICL/plugins/ClusterFilterByAlgoAndSize.h
index fea760a13f0d6..b2e9559642188 100644
--- a/RecoHGCal/TICL/plugins/ClusterFilterByAlgoOrSize.h
+++ b/RecoHGCal/TICL/plugins/ClusterFilterByAlgoAndSize.h
@@ -1,8 +1,8 @@
-// Author: Marco Rovere - marco.rovere@cern.ch
+// Authors: Marco Rovere - marco.rovere@cern.ch, Felice Pantaleo - felice.pantaleo@cern.ch
 // Date: 11/2018
 
-#ifndef RecoHGCal_TICL_ClusterFilterByAlgoOrSize_H__
-#define RecoHGCal_TICL_ClusterFilterByAlgoOrSize_H__
+#ifndef RecoHGCal_TICL_ClusterFilterByAlgoAndSize_H__
+#define RecoHGCal_TICL_ClusterFilterByAlgoAndSize_H__
 
 #include "DataFormats/CaloRecHit/interface/CaloCluster.h"
 #include "ClusterFilterBase.h"
@@ -12,21 +12,23 @@
 
 // Filter clusters that belong to a specific algorithm
 namespace ticl {
-  class ClusterFilterByAlgoOrSize final : public ClusterFilterBase {
+  class ClusterFilterByAlgoAndSize final : public ClusterFilterBase {
   public:
-    ClusterFilterByAlgoOrSize(const edm::ParameterSet& ps)
+    ClusterFilterByAlgoAndSize(const edm::ParameterSet& ps)
         : ClusterFilterBase(ps),
           algo_number_(ps.getParameter<int>("algo_number")),
+          min_cluster_size_(ps.getParameter<int>("min_cluster_size")),
           max_cluster_size_(ps.getParameter<int>("max_cluster_size")) {}
-    ~ClusterFilterByAlgoOrSize() override{};
+    ~ClusterFilterByAlgoAndSize() override{};
 
     std::unique_ptr<HgcalClusterFilterMask> filter(const std::vector<reco::CaloCluster>& layerClusters,
                                                    const HgcalClusterFilterMask& availableLayerClusters,
                                                    std::vector<float>& layerClustersMask) const override {
       auto filteredLayerClusters = std::make_unique<HgcalClusterFilterMask>();
       for (auto const& cl : availableLayerClusters) {
-        if (layerClusters[cl.first].algo() == algo_number_ ||
-            layerClusters[cl.first].hitsAndFractions().size() <= max_cluster_size_) {
+        if (layerClusters[cl.first].algo() == algo_number_ and
+            layerClusters[cl.first].hitsAndFractions().size() <= max_cluster_size_ and
+            layerClusters[cl.first].hitsAndFractions().size() >= min_cluster_size_) {
           filteredLayerClusters->emplace_back(cl);
         } else {
           layerClustersMask[cl.first] = 0.;
@@ -37,6 +39,7 @@ namespace ticl {
 
   private:
     int algo_number_;
+    unsigned int min_cluster_size_;
     unsigned int max_cluster_size_;
   };
 }  // namespace ticl
diff --git a/RecoHGCal/TICL/plugins/FilteredLayerClustersProducer.cc b/RecoHGCal/TICL/plugins/FilteredLayerClustersProducer.cc
index 84d0adfb74f84..4685159f668e8 100644
--- a/RecoHGCal/TICL/plugins/FilteredLayerClustersProducer.cc
+++ b/RecoHGCal/TICL/plugins/FilteredLayerClustersProducer.cc
@@ -53,8 +53,9 @@ void FilteredLayerClustersProducer::fillDescriptions(edm::ConfigurationDescripti
   desc.add<edm::InputTag>("HGCLayerClusters", edm::InputTag("hgcalLayerClusters"));
   desc.add<edm::InputTag>("LayerClustersInputMask", edm::InputTag("hgcalLayerClusters", "InitialLayerClustersMask"));
   desc.add<std::string>("iteration_label", "iterationLabelGoesHere");
-  desc.add<std::string>("clusterFilter", "ClusterFilterByAlgo");
+  desc.add<std::string>("clusterFilter", "ClusterFilterByAlgoAndSize");
   desc.add<int>("algo_number", 9);
+  desc.add<int>("min_cluster_size", 0);
   desc.add<int>("max_cluster_size", 9999);
   descriptions.add("filteredLayerClustersProducer", desc);
 }
diff --git a/RecoHGCal/TICL/plugins/filters.cc b/RecoHGCal/TICL/plugins/filters.cc
index 90270fe86fbe8..edbd834f4df90 100644
--- a/RecoHGCal/TICL/plugins/filters.cc
+++ b/RecoHGCal/TICL/plugins/filters.cc
@@ -5,11 +5,11 @@
 #include "ClusterFilterFactory.h"
 
 #include "ClusterFilterByAlgo.h"
-#include "ClusterFilterByAlgoOrSize.h"
+#include "ClusterFilterByAlgoAndSize.h"
 #include "ClusterFilterBySize.h"
 
 using namespace ticl;
 
 DEFINE_EDM_PLUGIN(ClusterFilterFactory, ClusterFilterByAlgo, "ClusterFilterByAlgo");
-DEFINE_EDM_PLUGIN(ClusterFilterFactory, ClusterFilterByAlgoOrSize, "ClusterFilterByAlgoOrSize");
+DEFINE_EDM_PLUGIN(ClusterFilterFactory, ClusterFilterByAlgoAndSize, "ClusterFilterByAlgoAndSize");
 DEFINE_EDM_PLUGIN(ClusterFilterFactory, ClusterFilterBySize, "ClusterFilterBySize");
diff --git a/RecoHGCal/TICL/python/ticl_iterations.py b/RecoHGCal/TICL/python/ticl_iterations.py
index d163ceac3ad72..2eac83f8a9955 100644
--- a/RecoHGCal/TICL/python/ticl_iterations.py
+++ b/RecoHGCal/TICL/python/ticl_iterations.py
@@ -43,6 +43,8 @@ def TICL_iterations_withReco(process):
   )
 
   process.FilteredLayerClusters = filteredLayerClustersProducer.clone(
+      clusterFilter = "ClusterFilterByAlgoAndSize",
+      min_cluster_size = 2,
       algo_number = 8,
       iteration_label = "algo8",
       LayerClustersInputMask = "TrackstersMIP"
@@ -98,6 +100,8 @@ def TICL_iterations(process):
   )
 
   process.FilteredLayerClusters = filteredLayerClustersProducer.clone(
+      clusterFilter = "ClusterFilterByAlgoAndSize",
+      min_cluster_size = 2,
       algo_number = 8,
       iteration_label = "algo8"
   )