diff --git a/tests/test_memory/test_lt_memory.py b/tests/test_memory/test_lt_memory.py
new file mode 100644
index 0000000..1fc5169
--- /dev/null
+++ b/tests/test_memory/test_lt_memory.py
@@ -0,0 +1,75 @@
+from unittest.mock import patch
+
+from mesa_llm.memory.lt_memory import LongTermMemory
+from mesa_llm.memory.memory import MemoryEntry
+
+
+class TestLTMemory:
+    """Test the Memory class core functionality"""
+
+    def test_memory_initialization(self, mock_agent):
+        """Test Memory class initialization with defaults and custom values"""
+        memory = LongTermMemory(
+            agent=mock_agent,
+            llm_model="provider/test_model",
+        )
+
+        assert memory.agent == mock_agent
+        assert memory.long_term_memory == ""
+        assert memory.llm.system_prompt is not None
+
+    def test_update_long_term_memory(self, mock_agent, mock_llm):
+        """Test updating long-term memory functionality"""
+        # Mock the LLM's generate method
+        mock_llm.generate.return_value = "Updated long-term memory"
+
+        memory = LongTermMemory(agent=mock_agent, llm_model="provider/test_model")
+        # Replace the real LLM with our mock
+        memory.llm = mock_llm
+        memory.long_term_memory = "Previous memory"
+
+        # Add some content to buffer
+        memory.buffer = MemoryEntry(
+            agent=mock_agent,
+            content={"message": "Test message"},
+            step=1,
+        )
+
+        memory._update_long_term_memory()
+
+        # Verify LLM can call with correct prompt structure
+        call_args = mock_llm.generate.call_args[0][0]
+        assert "new memory entry" in call_args
+        assert "Long term memory" in call_args
+
+        assert memory.long_term_memory == "Updated long-term memory"
+
+    # process step test
+    def test_process_step(self, mock_agent):
+        """Test process_step functionality"""
+        memory = LongTermMemory(agent=mock_agent, llm_model="provider/test_model")
+
+        # Add some content
+        memory.add_to_memory("observation", {"content": "Test observation"})
+        memory.add_to_memory("plan", {"content": "Test plan"})
+
+        # Process the step
+        with (
+            patch("rich.console.Console"),
+            patch.object(memory.llm, "generate", return_value="mocked summary"),
+        ):
+            memory.process_step(pre_step=True)
+            assert isinstance(memory.buffer, MemoryEntry)
+            # assert memory.buffer is not None
+
+            # Process post-step
+            memory.process_step(pre_step=False)
+            assert memory.long_term_memory == "mocked summary"
+
+    # format memories test
+    def test_format_long_term(self, mock_agent):
+        """Test formatting long-term memory"""
+        memory = LongTermMemory(agent=mock_agent, llm_model="provider/test_model")
+        memory.long_term_memory = "Long-term summary"
+
+        assert memory.format_long_term() == "Long-term summary"