diff --git a/CHANGELOG.md b/CHANGELOG.md
index e7583d893..11ad81ade 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -6,6 +6,11 @@ The format is based on [Keep a Changelog](https://keepachangelog.com/en/1.0.0/),
 and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0.html).
 
 
+## [Unreleased]
+
+### Fixed
+- Fixed Text.wrap trimming lines in no_wrap mode https://github.com/Textualize/rich/issues/3841
+
 ## [14.1.0] - 2025-06-25
 
 ### Changed
diff --git a/CONTRIBUTORS.md b/CONTRIBUTORS.md
index 4b04786b9..0ce667322 100644
--- a/CONTRIBUTORS.md
+++ b/CONTRIBUTORS.md
@@ -47,6 +47,7 @@ The following people have contributed to the development of Rich:
 - [Antony Milne](https://github.com/AntonyMilneQB)
 - [Michael Milton](https://github.com/multimeric)
 - [Martina Oefelein](https://github.com/oefe)
+- [Igor Oleynik](https://github.com/KiGamji)
 - [Nathan Page](https://github.com/nathanrpage97)
 - [Dave Pearson](https://github.com/davep/)
 - [Avi Perl](https://github.com/avi-perl)
diff --git a/rich/text.py b/rich/text.py
index b57d77c27..6be949ece 100644
--- a/rich/text.py
+++ b/rich/text.py
@@ -1236,14 +1236,13 @@ def wrap(
             else:
                 offsets = divide_line(str(line), width, fold=wrap_overflow == "fold")
                 new_lines = line.divide(offsets)
-            for line in new_lines:
-                line.rstrip_end(width)
+                for line in new_lines:
+                    line.rstrip_end(width)
+                    line.truncate(width, overflow=wrap_overflow)
             if wrap_justify:
                 new_lines.justify(
                     console, width, justify=wrap_justify, overflow=wrap_overflow
                 )
-            for line in new_lines:
-                line.truncate(width, overflow=wrap_overflow)
             lines.extend(new_lines)
         return lines
 
diff --git a/tests/test_syntax.py b/tests/test_syntax.py
index 3537ab5b6..b8373d8e5 100644
--- a/tests/test_syntax.py
+++ b/tests/test_syntax.py
@@ -115,7 +115,7 @@ def test_python_render_simple_indent_guides() -> None:
     )
     rendered_syntax = render(syntax)
     print(repr(rendered_syntax))
-    expected = '\x1b[34mdef\x1b[0m\x1b[37m \x1b[0m\x1b[32mloop_first_last\x1b[0m(values: Iterable[T]) -> Iterable[Tuple[\x1b[36mb\x1b[0m\n\x1b[2;37m│   \x1b[0m\x1b[33m"""Iterate and generate a tuple with a flag for first an\x1b[0m\n\x1b[2m│   \x1b[0miter_values = \x1b[36miter\x1b[0m(values)\n\x1b[2m│   \x1b[0m\x1b[34mtry\x1b[0m:\n\x1b[2m│   │   \x1b[0mprevious_value = \x1b[36mnext\x1b[0m(iter_values)\n\x1b[2m│   \x1b[0m\x1b[34mexcept\x1b[0m \x1b[36mStopIteration\x1b[0m:\n\x1b[2m│   │   \x1b[0m\x1b[34mreturn\x1b[0m\n\x1b[2m│   \x1b[0mfirst = \x1b[34mTrue\x1b[0m\n\x1b[2m│   \x1b[0m\x1b[34mfor\x1b[0m value \x1b[35min\x1b[0m iter_values:\n\x1b[2m│   │   \x1b[0m\x1b[34myield\x1b[0m first, \x1b[34mFalse\x1b[0m, previous_value\n\x1b[2m│   │   \x1b[0mfirst = \x1b[34mFalse\x1b[0m\n\x1b[2m│   │   \x1b[0mprevious_value = value\n\x1b[2m│   \x1b[0m\x1b[34myield\x1b[0m first, \x1b[34mTrue\x1b[0m, previous_value\n'
+    expected = '\x1b[34mdef\x1b[0m\x1b[37m \x1b[0m\x1b[32mloop_first_last\x1b[0m(values: Iterable[T]) -> Iterable[Tuple[\x1b[36mbool\x1b[0m, \x1b[36mbool\x1b[0m, T]]:\n\x1b[2;37m│   \x1b[0m\x1b[33m"""Iterate and generate a tuple with a flag for first and last value."""\x1b[0m\n\x1b[2m│   \x1b[0miter_values = \x1b[36miter\x1b[0m(values)\n\x1b[2m│   \x1b[0m\x1b[34mtry\x1b[0m:\n\x1b[2m│   │   \x1b[0mprevious_value = \x1b[36mnext\x1b[0m(iter_values)\n\x1b[2m│   \x1b[0m\x1b[34mexcept\x1b[0m \x1b[36mStopIteration\x1b[0m:\n\x1b[2m│   │   \x1b[0m\x1b[34mreturn\x1b[0m\n\x1b[2m│   \x1b[0mfirst = \x1b[34mTrue\x1b[0m\n\x1b[2m│   \x1b[0m\x1b[34mfor\x1b[0m value \x1b[35min\x1b[0m iter_values:\n\x1b[2m│   │   \x1b[0m\x1b[34myield\x1b[0m first, \x1b[34mFalse\x1b[0m, previous_value\n\x1b[2m│   │   \x1b[0mfirst = \x1b[34mFalse\x1b[0m\n\x1b[2m│   │   \x1b[0mprevious_value = value\n\x1b[2m│   \x1b[0m\x1b[34myield\x1b[0m first, \x1b[34mTrue\x1b[0m, previous_value\n'
     assert rendered_syntax == expected
 
 
diff --git a/tests/test_text.py b/tests/test_text.py
index fee7302f2..68506a46e 100644
--- a/tests/test_text.py
+++ b/tests/test_text.py
@@ -641,6 +641,22 @@ def test_no_wrap_no_crop():
     )
 
 
+def test_no_wrap_no_strip_trailing_space():
+    """Test that Text.wrap doesn't strip trailing spaces from styled segments in no wrap mode."""
+    console = Console(width=40)
+
+    text = Text()
+    text.append("x" * 35)
+    text.append(" test ", style="white on blue")
+
+    lines = text.wrap(console, width=40, no_wrap=True)
+
+    assert len(lines) == 1
+    result_text = lines[0]
+
+    assert result_text.plain == "x" * 35 + " test "
+
+
 def test_fit():
     text = Text("Hello\nWorld")
     lines = text.fit(3)