diff --git a/include/pybind11/eigen.h b/include/pybind11/eigen.h
index a702bf39e..cc589470f 100644
--- a/include/pybind11/eigen.h
+++ b/include/pybind11/eigen.h
@@ -272,6 +272,7 @@ struct type_caster<Type, enable_if_t<is_eigen_dense_plain<Type>::value>> {
         value = Type(fits.rows, fits.cols);
         auto ref = reinterpret_steal<array>(eigen_ref_array<props>(value));
         if (dims == 1) ref = ref.squeeze();
+        else if (ref.ndim() == 1) buf = buf.squeeze();
 
         int result = detail::npy_api::get().PyArray_CopyInto_(ref.ptr(), buf.ptr());
 
diff --git a/tests/test_eigen.cpp b/tests/test_eigen.cpp
index 17b156ce4..20be0aa11 100644
--- a/tests/test_eigen.cpp
+++ b/tests/test_eigen.cpp
@@ -288,6 +288,13 @@ TEST_SUBMODULE(eigen, m) {
     m.def("iss738_f1", &adjust_matrix<const Eigen::Ref<const Eigen::MatrixXd> &>, py::arg().noconvert());
     m.def("iss738_f2", &adjust_matrix<const Eigen::Ref<const Eigen::Matrix<double, -1, -1, Eigen::RowMajor>> &>, py::arg().noconvert());
 
+    // test_issue1105
+    // Issue #1105: when converting from a numpy two-dimensional (Nx1) or (1xN) value into a dense
+    // eigen Vector or RowVector, the argument would fail to load because the numpy copy would fail:
+    // numpy won't broadcast a Nx1 into a 1-dimensional vector.
+    m.def("iss1105_col", [](Eigen::VectorXd) { return true; });
+    m.def("iss1105_row", [](Eigen::RowVectorXd) { return true; });
+
     // test_named_arguments
     // Make sure named arguments are working properly:
     m.def("matrix_multiply", [](const py::EigenDRef<const Eigen::MatrixXd> A, const py::EigenDRef<const Eigen::MatrixXd> B)
diff --git a/tests/test_eigen.py b/tests/test_eigen.py
index 4ac8cbf5d..1f263db44 100644
--- a/tests/test_eigen.py
+++ b/tests/test_eigen.py
@@ -672,6 +672,21 @@ def test_issue738():
     assert np.all(m.iss738_f2(np.array([[1.], [2], [3]])) == np.array([[1.], [12], [23]]))
 
 
+def test_issue1105():
+    """Issue 1105: 1xN or Nx1 input arrays weren't accepted for eigen
+    compile-time row vectors or column vector"""
+    assert m.iss1105_row(np.ones((1, 7)))
+    assert m.iss1105_col(np.ones((7, 1)))
+
+    # These should still fail (incompatible dimensions):
+    with pytest.raises(TypeError) as excinfo:
+        m.iss1105_row(np.ones((7, 1)))
+    assert "incompatible function arguments" in str(excinfo)
+    with pytest.raises(TypeError) as excinfo:
+        m.iss1105_col(np.ones((1, 7)))
+    assert "incompatible function arguments" in str(excinfo)
+
+
 def test_custom_operator_new():
     """Using Eigen types as member variables requires a class-specific
     operator new with proper alignment"""