diff --git a/package/AUTHORS b/package/AUTHORS
index e28256e0ba1..0b0a4b3e9d8 100644
--- a/package/AUTHORS
+++ b/package/AUTHORS
@@ -201,6 +201,7 @@ Chronological list of authors
   - Jake Fennick
   - Utsav Khatu
   - Patricio Barletta
+  - Mikhail Glagolev
 
 
 External code
diff --git a/package/CHANGELOG b/package/CHANGELOG
index 0dea541bdde..96c49fb08b4 100644
--- a/package/CHANGELOG
+++ b/package/CHANGELOG
@@ -13,11 +13,13 @@ The rules for this file:
   * release numbers follow "Semantic Versioning" http://semver.org
 
 ------------------------------------------------------------------------------
-??/??/?? IAlibay, pgbarletta
+??/??/?? IAlibay, pgbarletta, mglagolev
 
  * 2.5.0
 
 Fixes
+  * Add 'PairIJ Coeffs' to the list of sections in LAMMPSParser.py
+    (Issue #3336)
 
 Enhancements
 
diff --git a/package/MDAnalysis/topology/LAMMPSParser.py b/package/MDAnalysis/topology/LAMMPSParser.py
index e89760f8b87..85bf2dec8f6 100644
--- a/package/MDAnalysis/topology/LAMMPSParser.py
+++ b/package/MDAnalysis/topology/LAMMPSParser.py
@@ -119,6 +119,7 @@
     'Impropers',
     'Pair',
     'Pair LJCoeffs',
+    'PairIJ Coeffs',
     'Bond Coeffs',
     'Angle Coeffs',
     'Dihedral Coeffs',
diff --git a/testsuite/MDAnalysisTests/data/lammps/pairij_coeffs.data.bz2 b/testsuite/MDAnalysisTests/data/lammps/pairij_coeffs.data.bz2
new file mode 100644
index 00000000000..df5c8f4564c
Binary files /dev/null and b/testsuite/MDAnalysisTests/data/lammps/pairij_coeffs.data.bz2 differ
diff --git a/testsuite/MDAnalysisTests/datafiles.py b/testsuite/MDAnalysisTests/datafiles.py
index 2eb9ad06950..1bc0b93a8ba 100644
--- a/testsuite/MDAnalysisTests/datafiles.py
+++ b/testsuite/MDAnalysisTests/datafiles.py
@@ -142,6 +142,7 @@
     "LAMMPShyd", "LAMMPShyd2",
     "LAMMPSdata_deletedatoms",  # with deleted atoms
     "LAMMPSdata_triclinic", # lammpsdata file to test triclinic dimension parsing, albite with most atoms deleted
+    "LAMMPSdata_PairIJ",  # lammps datafile with a PairIJ Coeffs section
     "LAMMPSDUMP",
     "LAMMPSDUMP_long",  # lammpsdump file with a few zeros sprinkled in the first column first frame
     "LAMMPSDUMP_allcoords",  # lammpsdump file with all coordinate conventions (x,xs,xu,xsu) present, from LAMMPS rdf example
@@ -513,6 +514,7 @@
 LAMMPShyd2 = resource_filename(__name__, "data/lammps/hydrogen-class1.data2")
 LAMMPSdata_deletedatoms = resource_filename(__name__, 'data/lammps/deletedatoms.data')
 LAMMPSdata_triclinic = resource_filename(__name__, "data/lammps/albite_triclinic.data")
+LAMMPSdata_PairIJ = resource_filename(__name__, "data/lammps/pairij_coeffs.data.bz2")
 LAMMPSDUMP = resource_filename(__name__, "data/lammps/wat.lammpstrj.bz2")
 LAMMPSDUMP_long = resource_filename(__name__, "data/lammps/wat.lammpstrj_long.bz2")
 LAMMPSDUMP_allcoords = resource_filename(__name__, "data/lammps/spce_all_coords.lammpstrj.bz2")
diff --git a/testsuite/MDAnalysisTests/topology/test_lammpsdata.py b/testsuite/MDAnalysisTests/topology/test_lammpsdata.py
index b53edd42feb..44a8af7236d 100644
--- a/testsuite/MDAnalysisTests/topology/test_lammpsdata.py
+++ b/testsuite/MDAnalysisTests/topology/test_lammpsdata.py
@@ -36,6 +36,7 @@
     LAMMPSdata_deletedatoms,
     LAMMPSDUMP,
     LAMMPSDUMP_long,
+    LAMMPSdata_PairIJ,
 )
 
 
@@ -179,6 +180,26 @@ def test_traj(self, filename):
                               dtype=np.float32))
 
 
+class TestLammpsDataPairIJ(LammpsBase):
+    """Tests the reading of lammps .data topology file with a
+    PairIJ Coeffs section
+    """
+
+    expected_attrs = ['types', 'resids', 'masses',
+                      'bonds', 'angles', 'dihedrals', 'impropers']
+    ref_filename = LAMMPSdata_PairIJ
+    expected_n_atoms = 800
+    expected_n_atom_types = 2
+    expected_n_residues = 1
+    ref_n_bonds = 799
+    ref_bond = (397, 398)
+    ref_n_angles = 390
+    ref_angle = (722, 723, 724)
+    ref_n_dihedrals = 385
+    ref_dihedral = (722, 723, 724, 725)
+    ref_n_impropers = 0
+
+
 LAMMPS_NORESID = """\
 LAMMPS data file via write_data, version 11 Aug 2017, timestep = 0