diff --git a/pygorithm/fibonacci/dynamic.py b/pygorithm/fibonacci/dynamic.py
new file mode 100644
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+++ b/pygorithm/fibonacci/dynamic.py
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+# fibonacci series by using dynamic programming
+
+# Function for nth fibonacci number - Dynamic Programing 
+# Taking 1st two fibonacci nubers as 0 and 1 
+
+FibArray = [0,1] 
+
+def fibonacci(n): 
+	if n<0: 
+		print("Incorrect input") 
+	elif n<=len(FibArray): 
+		return FibArray[n-1] 
+	else: 
+		temp_fib = fibonacci(n-1)+fibonacci(n-2) 
+		FibArray.append(temp_fib) 
+		return temp_fib 
+
+# sample Program 
+
+print(fibonacci(9)) 
+
+# output = 21
+
+
+# fibonacci series by using space optimisation
+# Function for nth fibonacci number - Space Optimisataion 
+# Taking 1st two fibonacci numbers as 0 and 1 
+
+def fibonacci(n): 
+	a = 0
+	b = 1
+	if n < 0: 
+		print("Incorrect input") 
+	elif n == 0: 
+		return a 
+	elif n == 1: 
+		return b 
+	else: 
+		for i in range(2,n): 
+			c = a + b 
+			a = b 
+			b = c 
+		return b 
+
+# Driver Program 
+
+print(fibonacci(9)) 
+
+#output = 21
+
+
+