diff --git a/pom.xml b/pom.xml
index bd6c63a4..32d9cf00 100644
--- a/pom.xml
+++ b/pom.xml
@@ -518,6 +518,12 @@
         </exclusion>
       </exclusions>
     </dependency>
+    <dependency>
+      <groupId>org.mockito</groupId>
+      <artifactId>mockito-core</artifactId>
+      <version>4.5.1</version>
+      <scope>test</scope>
+    </dependency>
   </dependencies>
 
 
diff --git a/src/main/java/fern/simulation/algorithm/TauLeapingSimulator.java b/src/main/java/fern/simulation/algorithm/TauLeapingSimulator.java
new file mode 100644
index 00000000..16535844
--- /dev/null
+++ b/src/main/java/fern/simulation/algorithm/TauLeapingSimulator.java
@@ -0,0 +1,78 @@
+package fern.simulation.algorithm;
+
+import fern.network.Network;
+import fern.simulation.Simulator;
+import fern.simulation.controller.SimulationController;
+
+/**
+ * An implementation of the explicit Tau-Leaping algorithm (Gillespie 2001).
+ * This algorithm accelerates stochastic simulations by taking larger time steps (tau)
+ * and approximating the number of reaction firings using Poisson distributions.
+ */
+public class TauLeapingSimulator extends Simulator {
+
+    private double tau = 0.01; // Default step size
+
+    public TauLeapingSimulator(Network net) {
+        super(net);
+    }
+
+    /**
+     * Executes one time step (tau) of the simulation using the SimulationController.
+     */
+    @Override
+    public void performStep(SimulationController controller) {
+        long[] firings = new long[getNet().getNumReactions()];
+
+        // 1. Calculate propensities (likelihoods) for all reactions
+        for (int i = 0; i < getNet().getNumReactions(); i++) {
+            // FERN expects the index (i), the AmountManager, and the Simulator instance
+            double propensity = getNet().getPropensityCalculator().calculatePropensity(i, getNet().getAmountManager(), this);
+
+            // 2. Calculate the expected number of firings in time tau
+            double expectedFirings = propensity * tau;
+
+            // 3. Draw from a Poisson distribution
+            if (expectedFirings > 0) {
+                firings[i] = getPoisson(expectedFirings);
+            } else {
+                firings[i] = 0;
+            }
+        }
+
+        // 4. Apply all firings to the network's molecule counts
+        for (int i = 0; i < getNet().getNumReactions(); i++) {
+            if (firings[i] > 0) {
+                for (long j = 0; j < firings[i]; j++) {
+                    // FERN typically uses the AmountManager to execute reactions by their integer index
+                    getNet().getAmountManager().performReaction(i, 1);
+                }
+            }
+        }
+    }
+
+    /**
+     * A lightweight Poisson random number generator (Knuth's algorithm).
+     * This avoids needing to import external Apache Commons Math libraries.
+     */
+    private long getPoisson(double lambda) {
+        double L = Math.exp(-lambda);
+        double p = 1.0;
+        long k = 0;
+        do {
+            k++;
+            p *= Math.random();
+        } while (p > L);
+        return k - 1;
+    }
+
+    @Override
+    public void reinitialize() {
+        // Reset any algorithm-specific parameters if the simulation restarts
+    }
+
+    @Override
+    public String getName() {
+        return "Explicit Tau-Leaping";
+    }
+}
\ No newline at end of file
diff --git a/src/test/java/fern/simulation/algorithm/TauLeapingSimulatorTest.java b/src/test/java/fern/simulation/algorithm/TauLeapingSimulatorTest.java
new file mode 100644
index 00000000..2273697f
--- /dev/null
+++ b/src/test/java/fern/simulation/algorithm/TauLeapingSimulatorTest.java
@@ -0,0 +1,26 @@
+package fern.simulation.algorithm;
+
+import fern.network.Network;
+import org.junit.jupiter.api.Test;
+import org.mockito.Mockito;
+
+import static org.junit.jupiter.api.Assertions.assertEquals;
+import static org.junit.jupiter.api.Assertions.assertNotNull;
+
+public class TauLeapingSimulatorTest {
+
+    @Test
+    public void testSimulatorInitialization() {
+        // Create a mock Network to safely satisfy the Simulator's constructor
+        Network mockNetwork = Mockito.mock(Network.class);
+        
+        // Initialize the simulator with our dummy network
+        TauLeapingSimulator simulator = new TauLeapingSimulator(mockNetwork);
+        
+        // Verify the object is created successfully 
+        assertNotNull(simulator, "TauLeapingSimulator should instantiate successfully");
+        
+        // Verify the overridden getName() method works
+        assertEquals("Explicit Tau-Leaping", simulator.getName());
+    }
+}
\ No newline at end of file