diff --git a/pyanchor/link_checker.py b/pyanchor/link_checker.py
index 9e0e825..5bcc0e6 100644
--- a/pyanchor/link_checker.py
+++ b/pyanchor/link_checker.py
@@ -12,7 +12,7 @@
 
 import requests
 from bs4 import BeautifulSoup
-
+import re
 
 class LinkResults:
     def __init__(self, url: str):
@@ -42,11 +42,23 @@ def check_link_for_http_scheme(self, href: str) -> str:
 
         if href.startswith(self.base_url):
             return href
+
         elif href.startswith("/"):
             href = self.base_url + href.lstrip("/")
             return href
-        else:  # This catches any href set to '#'
-            return None  # TODO: Deal with ./ or ../ relative links.
+
+        elif href.startswith("./"):
+            return self.base_url + re.sub("./", "", href) #using re.sub to remove all instances of ./ in href
+
+        elif href.startswith("../"):
+            return self.base_url + re.sub("../", "", href) #using re.sub to remove all instances of ./ in href
+
+        elif href.startswith("#"):
+            if "#" not in list(self.base_url):
+                return self.base_url + re.sub("#", "", href) #checks if # exists in base_url
+            else:
+                return None #returns none if # already exists in self.base_url   
+
 
     def find_all_atags(self, url: str):
         """Find all anchor tags on a given URL.
diff --git a/tests/test_cli.py b/tests/test_cli.py
index e619773..ddd95d9 100644
--- a/tests/test_cli.py
+++ b/tests/test_cli.py
@@ -16,6 +16,8 @@ def test_exception_on_invalid_url_http_scheme(self):
     def test_successful_result_prints(self):
         results = runner.invoke(app, ["http://127.0.0.1:5000/", "--verbose"])
         assert "[ 200 ] - http://127.0.0.1:5000/about" in results.output
+        assert "[ 200 ] - http://127.0.0.1:5000/rel" in results.output
+        assert "[ 200 ] - http://127.0.0.1:5000/rel2" in results.output
 
     def test_failing_result_prints(self):
         results = runner.invoke(app, ["http://127.0.0.1:5000/"])
diff --git a/tests/test_webapp/app.py b/tests/test_webapp/app.py
index a262397..2970b9b 100644
--- a/tests/test_webapp/app.py
+++ b/tests/test_webapp/app.py
@@ -29,12 +29,18 @@ def about_link_2():
 def contact():
     return render_template("success.html", name="Contact")
 
+@app.route("/rel")
+def relative_link():
+    return render_template("success.html",name="Rel")
+
+@app.route("/rel2")
+def relative_link2():
+    return render_template("success.html",name="Rel2")       
 
 @app.route("/login")
 def login():
     return render_template("error.html", status_code=401), 401
 
-
 @app.route("/500")
 def five_hundred():
     return render_template("error.html", status_code=500), 500
@@ -47,3 +53,4 @@ def sitemap():
 
 if __name__ == "__main__":
     app.run()
+
diff --git a/tests/test_webapp/templates/index.html b/tests/test_webapp/templates/index.html
index 0345daa..ac5fe80 100644
--- a/tests/test_webapp/templates/index.html
+++ b/tests/test_webapp/templates/index.html
@@ -11,7 +11,8 @@
   <a href="/about">About Page</a>
   <a href="http://127.0.0.1:5000/contact">Contact Page</a>
   <a href="#">Hash Link</a>
-  <a href="./">Rel Link</a>
+  <a href="./rel">Rel Link</a>
+  <a href="../rel2"> Second Rel Link</a>
 
   <!-- These should fail -->
   <a href="/dhjaow">Failing Link</a>