diff --git a/package/CHANGELOG b/package/CHANGELOG
index ef0a8c5a631..144fda4853d 100644
--- a/package/CHANGELOG
+++ b/package/CHANGELOG
@@ -13,9 +13,9 @@ The rules for this file:
   * release numbers follow "Semantic Versioning" http://semver.org
 
 ------------------------------------------------------------------------------
-??/??/??  richardjgowers, IAlibay, tylerjereddy, xiki-tempula,
+??/??/??  richardjgowers, IAlibay, tylerjereddy, xiki-tempula, lilyminium
 
-  * 1.0.2
+  * 1.1.0
 
 Fixes
   * Replaces decreated NumPy type aliases and fixes NEP 34 explicit ragged
@@ -29,6 +29,13 @@ Changes
 Deprecations
   * hbonds.WaterBridgeAnalysis will be removed in 2.0.0 and
     replaced with hydrogenbonds.WaterBridgeAnalysis (#3111)
+  * TPRParser indexing resids from 0 by default is deprecated.
+    From 2.0 TPRParser will index resids from 1 by default.
+
+Enhancements
+  * Added `tpr_resid_from_one` keyword to select whether TPRParser
+    indexes resids from 0 or 1 (Issue #2364, PR #3153)
+  
     
 01/17/21 richardjgowers, IAlibay, orbeckst, tylerjereddy, jbarnoud,
          yuxuanzhuang, lilyminium, VOD555, p-j-smith, bieniekmateusz,
diff --git a/package/MDAnalysis/topology/TPRParser.py b/package/MDAnalysis/topology/TPRParser.py
index 1ac58c6fae9..9d4b3855edf 100644
--- a/package/MDAnalysis/topology/TPRParser.py
+++ b/package/MDAnalysis/topology/TPRParser.py
@@ -171,12 +171,24 @@ class TPRParser(TopologyReaderBase):
     """
     format = 'TPR'
 
-    def parse(self, **kwargs):
+    def parse(self, tpr_resid_from_one=False, **kwargs):
         """Parse a Gromacs TPR file into a MDAnalysis internal topology structure.
 
+        Parameters
+        ----------
+        tpr_resid_from_one: bool (optional)
+            Toggle whether to index resids from 1 or 0 from TPR files.
+            TPR files index resids from 0 by default, even though GRO and ITP
+            files index from 1.
+
         Returns
         -------
         structure : dict
+
+
+        .. versionchanged:: 1.1.0
+            Added the ``tpr_resid_from_one`` keyword to control if
+            resids are indexed from 0 or 1. Default ``False``.
         """
         with openany(self.filename, mode='rb') as infile:
             tprf = infile.read()
@@ -219,7 +231,8 @@ def parse(self, **kwargs):
             tpr_utils.fileVersion_err(V)
 
         if th.bTop:
-            tpr_top = tpr_utils.do_mtop(data, V)
+            tpr_top = tpr_utils.do_mtop(data, V,
+                                        tpr_resid_from_one=tpr_resid_from_one)
         else:
             msg = "{0}: No topology found in tpr file".format(self.filename)
             logger.critical(msg)
diff --git a/package/MDAnalysis/topology/tpr/utils.py b/package/MDAnalysis/topology/tpr/utils.py
index b6b78a0313a..9cc49474f83 100644
--- a/package/MDAnalysis/topology/tpr/utils.py
+++ b/package/MDAnalysis/topology/tpr/utils.py
@@ -49,6 +49,8 @@
 from __future__ import absolute_import
 
 from six.moves import range
+import warnings
+
 import numpy as np
 import xdrlib
 import struct
@@ -296,7 +298,7 @@ def extract_box_info(data, fileVersion):
     return obj.Box(box, box_rel, box_v)
 
 
-def do_mtop(data, fver):
+def do_mtop(data, fver, tpr_resid_from_one=False):
     # mtop: the topology of the whole system
     symtab = do_symtab(data)
     do_symstr(data, symtab)  # system_name
@@ -381,6 +383,16 @@ def do_mtop(data, fver):
     molnums = np.array(molnums, dtype=np.int32)
     segids = np.array(segids, dtype=object)
     resids = np.array(resids, dtype=np.int32)
+    if tpr_resid_from_one:
+        resids += 1
+    else:
+        warnings.warn("TPR files index residues from 0. "
+                      "From MDAnalysis version 2.0, resids will start "
+                      "at 1 instead. If you wish to keep indexing "
+                      "resids from 0, please set "
+                      "`tpr_resid_from_one=False` as a keyword argument "
+                      "when you create a new Topology or Universe.",
+                      category=DeprecationWarning)
     resnames = np.array(resnames, dtype=object)
     (residx, new_resids,
      (new_resnames,
diff --git a/testsuite/MDAnalysisTests/topology/test_tprparser.py b/testsuite/MDAnalysisTests/topology/test_tprparser.py
index 2063ee70ebc..925b02420da 100644
--- a/testsuite/MDAnalysisTests/topology/test_tprparser.py
+++ b/testsuite/MDAnalysisTests/topology/test_tprparser.py
@@ -39,6 +39,7 @@
 )
 from MDAnalysisTests.topology.base import ParserBase
 import MDAnalysis.topology.TPRParser
+import MDAnalysis as mda
 
 
 class TPRAttrs(ParserBase):
@@ -248,3 +249,25 @@ def test_fail_for_gmx2020_beta(tpr_path):
     parser = MDAnalysis.topology.TPRParser.TPRParser(tpr_path)
     with pytest.raises(IOError):
         parser.parse()
+
+
+@pytest.mark.parametrize("resid_from_one,resid_addition", [
+    (False, 0),  # status quo for 1.x
+    (True, 1),
+    ])
+def test_resids(resid_from_one, resid_addition):
+    u = mda.Universe(TPR, tpr_resid_from_one=resid_from_one)
+    resids = np.arange(len(u.residues)) + resid_addition
+    assert_equal(u.residues.resids, resids,
+                 err_msg="tpr_resid_from_one kwarg not switching resids")
+
+
+@pytest.mark.parametrize("kwargs", [
+    {},
+    {"tpr_resid_from_one": False},
+])
+def test_resid_false_deprecation_warning(kwargs):
+    err = ("TPR files index residues from 0. From "
+           "MDAnalysis version 2.0, resids will start at 1 instead.")
+    with pytest.warns(DeprecationWarning, match=err):
+        u = mda.Universe(TPR, **kwargs)