diff --git a/L1Trigger/L1TGlobal/interface/GlobalBoard.h b/L1Trigger/L1TGlobal/interface/GlobalBoard.h
index b91c001938234..ae9058113b20b 100644
--- a/L1Trigger/L1TGlobal/interface/GlobalBoard.h
+++ b/L1Trigger/L1TGlobal/interface/GlobalBoard.h
@@ -84,7 +84,9 @@ namespace l1t {
     void receiveMuonObjectData(const edm::Event&,
                                const edm::EDGetTokenT<BXVector<l1t::Muon>>&,
                                const bool receiveMu,
-                               const int nrL1Mu);
+                               const int nrL1Mu,
+                               const std::vector<l1t::Muon>* muonVec_bxm2,
+                               const std::vector<l1t::Muon>* muonVec_bxm1);
 
     void receiveMuonShowerObjectData(const edm::Event&,
                                      const edm::EDGetTokenT<BXVector<l1t::MuonShower>>&,
diff --git a/L1Trigger/L1TGlobal/plugins/L1TGlobalProducer.cc b/L1Trigger/L1TGlobal/plugins/L1TGlobalProducer.cc
index 430c6ffb4ea31..ca2839241fec5 100644
--- a/L1Trigger/L1TGlobal/plugins/L1TGlobalProducer.cc
+++ b/L1Trigger/L1TGlobal/plugins/L1TGlobalProducer.cc
@@ -266,6 +266,10 @@ L1TGlobalProducer::L1TGlobalProducer(const edm::ParameterSet& parSet)
 
   m_currentLumi = 0;
 
+  //
+  std::vector<l1t::Muon> muonVec_bxm2;
+  std::vector<l1t::Muon> muonVec_bxm1;
+
   // Set default, initial, dummy prescale factor table
   std::vector<std::vector<double>> temp_prescaleTable;
 
@@ -641,7 +645,7 @@ void L1TGlobalProducer::produce(edm::Event& iEvent, const edm::EventSetup& evSet
                                   receiveEtSumsZdc,
                                   receiveCICADA);
 
-  m_uGtBrd->receiveMuonObjectData(iEvent, m_muInputToken, receiveMu, m_nrL1Mu);
+  m_uGtBrd->receiveMuonObjectData(iEvent, m_muInputToken, receiveMu, m_nrL1Mu, &muonVec_bxm2, &muonVec_bxm1);
 
   if (m_useMuonShowers)
     m_uGtBrd->receiveMuonShowerObjectData(iEvent, m_muShowerInputToken, receiveMuShower, m_nrL1MuShower);
@@ -700,6 +704,13 @@ void L1TGlobalProducer::produce(edm::Event& iEvent, const edm::EventSetup& evSet
 
   }  //End Loop over Bx
 
+  muonVec_bxm2 = muonVec_bxm1;
+  muonVec_bxm1.clear();
+  for (std::vector<const l1t::Muon*>::const_iterator iMu = (*(m_uGtBrd->getCandL1Mu())).begin(0);
+       iMu != (*(m_uGtBrd->getCandL1Mu())).end(0);
+       ++iMu) {
+    muonVec_bxm1.push_back(**iMu);
+  }
   // Add explicit reset of Board
   m_uGtBrd->reset();
 
diff --git a/L1Trigger/L1TGlobal/plugins/L1TGlobalProducer.h b/L1Trigger/L1TGlobal/plugins/L1TGlobalProducer.h
index 30ad29fe24061..53f857a136507 100644
--- a/L1Trigger/L1TGlobal/plugins/L1TGlobalProducer.h
+++ b/L1Trigger/L1TGlobal/plugins/L1TGlobalProducer.h
@@ -202,6 +202,10 @@ class L1TGlobalProducer : public edm::stream::EDProducer<> {
 
   //switch to save axo scores in global board
   bool m_produceAXOL1TLScore;
+
+  //vectors to store muon data for previous relative bx crossings
+  std::vector<l1t::Muon> muonVec_bxm2;
+  std::vector<l1t::Muon> muonVec_bxm1;
 };
 
 #endif  // L1TGlobalProducer_h
diff --git a/L1Trigger/L1TGlobal/src/GlobalBoard.cc b/L1Trigger/L1TGlobal/src/GlobalBoard.cc
index b967fc83095f8..825571c064a1b 100644
--- a/L1Trigger/L1TGlobal/src/GlobalBoard.cc
+++ b/L1Trigger/L1TGlobal/src/GlobalBoard.cc
@@ -376,7 +376,9 @@ void l1t::GlobalBoard::receiveCaloObjectData(const edm::Event& iEvent,
 void l1t::GlobalBoard::receiveMuonObjectData(const edm::Event& iEvent,
                                              const edm::EDGetTokenT<BXVector<l1t::Muon>>& muInputToken,
                                              const bool receiveMu,
-                                             const int nrL1Mu) {
+                                             const int nrL1Mu,
+                                             const std::vector<l1t::Muon>* muonVec_bxm2,
+                                             const std::vector<l1t::Muon>* muonVec_bxm1) {
   if (m_verbosity) {
     LogDebug("L1TGlobal") << "\n**** GlobalBoard receiving muon data = ";
     //<< "\n     from input tag " << muInputTag << "\n"
@@ -403,16 +405,45 @@ void l1t::GlobalBoard::receiveMuonObjectData(const edm::Event& iEvent,
 
         //Loop over Muons in this bx
         int nObj = 0;
-        for (std::vector<l1t::Muon>::const_iterator mu = muonData->begin(i); mu != muonData->end(i); ++mu) {
-          if (nObj < nrL1Mu) {
-            (*m_candL1Mu).push_back(i, &(*mu));
-          } else {
-            edm::LogWarning("L1TGlobal") << " Too many Muons (" << nObj << ") for uGT Configuration maxMu =" << nrL1Mu;
+        if (i == -2) {
+          for (std::vector<l1t::Muon>::const_iterator mu = muonVec_bxm2->begin(); mu != muonVec_bxm2->end(); ++mu) {
+            if (nObj < nrL1Mu) {
+              (*m_candL1Mu).push_back(i, &(*mu));
+            } else {
+              edm::LogWarning("L1TGlobal")
+                  << " Too many Muons (" << nObj << ") for uGT Configuration maxMu =" << nrL1Mu;
+            }
+
+            LogDebug("L1TGlobal") << "Muon  Pt " << mu->hwPt() << " EtaAtVtx  " << mu->hwEtaAtVtx() << " PhiAtVtx "
+                                  << mu->hwPhiAtVtx() << "  Qual " << mu->hwQual() << "  Iso " << mu->hwIso();
+            nObj++;
           }
+        } else if (i == -1) {
+          for (std::vector<l1t::Muon>::const_iterator mu = muonVec_bxm1->begin(); mu != muonVec_bxm1->end(); ++mu) {
+            if (nObj < nrL1Mu) {
+              (*m_candL1Mu).push_back(i, &(*mu));
+            } else {
+              edm::LogWarning("L1TGlobal")
+                  << " Too many Muons (" << nObj << ") for uGT Configuration maxMu =" << nrL1Mu;
+            }
 
-          LogDebug("L1TGlobal") << "Muon  Pt " << mu->hwPt() << " EtaAtVtx  " << mu->hwEtaAtVtx() << " PhiAtVtx "
-                                << mu->hwPhiAtVtx() << "  Qual " << mu->hwQual() << "  Iso " << mu->hwIso();
-          nObj++;
+            LogDebug("L1TGlobal") << "Muon  Pt " << mu->hwPt() << " EtaAtVtx  " << mu->hwEtaAtVtx() << " PhiAtVtx "
+                                  << mu->hwPhiAtVtx() << "  Qual " << mu->hwQual() << "  Iso " << mu->hwIso();
+            nObj++;
+          }
+        } else {
+          for (std::vector<l1t::Muon>::const_iterator mu = muonData->begin(i); mu != muonData->end(i); ++mu) {
+            if (nObj < nrL1Mu) {
+              (*m_candL1Mu).push_back(i, &(*mu));
+            } else {
+              edm::LogWarning("L1TGlobal")
+                  << " Too many Muons (" << nObj << ") for uGT Configuration maxMu =" << nrL1Mu;
+            }
+
+            LogDebug("L1TGlobal") << "Muon  Pt " << mu->hwPt() << " EtaAtVtx  " << mu->hwEtaAtVtx() << " PhiAtVtx "
+                                  << mu->hwPhiAtVtx() << "  Qual " << mu->hwQual() << "  Iso " << mu->hwIso();
+            nObj++;
+          }
         }  //end loop over muons in bx
       }  //end loop over bx
     }  //end if over valid muon data