diff --git a/news/90.bugfix b/news/90.bugfix
new file mode 100644
index 0000000000000000000000000000000000000000..200585250e77cf0f3589e4ff95db09d565230b2d
--- /dev/null
+++ b/news/90.bugfix
@@ -0,0 +1 @@
+Ensure `wheel` package is available before building packages.
diff --git a/pdm/installers.py b/pdm/installers.py
index 857f345e326449f845d7b68377ffd58d00802f38..525e3a36c88dd3b711e8a1deff13a06b90fc9b8a 100644
--- a/pdm/installers.py
+++ b/pdm/installers.py
@@ -433,7 +433,7 @@ class Synchronizer:
                 elif not _is_dist_editable(dist) and dist.version != can.version:
                     # XXX: An editable distribution is always considered as consistent.
                     to_update.append(key)
-            elif key not in self.all_candidates:
+            elif key not in self.all_candidates and key != "wheel":
                 # Remove package only if it is not required by any section
                 to_remove.append(key)
         to_add = list(
@@ -596,22 +596,26 @@ class Synchronizer:
                             )
                             if key in self.SEQUENTIAL_PACKAGES:
                                 future.result()
-        # End installation
-        self.summarize(result)
-        if not any(failed.values()):
-            return
-        stream.echo(stream.red("[ERROR]", bold=True))
-        if failed["add"] + failed["update"]:
-            stream.echo(
-                f"Installation failed: {', '.join(failed['add'] + failed['update'])}"
-            )
-        if failed["remove"]:
-            stream.echo(f"Removal failed: {', '.join(failed['remove'])}")
-        for error in errors:
-            stream.echo(
-                "".join(
-                    traceback.format_exception(type(error), error, error.__traceback__)
-                ),
-                verbosity=stream.DEBUG,
-            )
-        raise InstallationError()
+            # End installation
+            self.summarize(result)
+            if not any(failed.values()):
+                return
+            stream.echo("\n")
+            error_msg = []
+            if failed["add"] + failed["update"]:
+                error_msg.append(
+                    "Installation failed: "
+                    f"{', '.join(failed['add'] + failed['update'])}"
+                )
+            if failed["remove"]:
+                error_msg.append(f"Removal failed: {', '.join(failed['remove'])}")
+            for error in errors:
+                stream.echo(
+                    "".join(
+                        traceback.format_exception(
+                            type(error), error, error.__traceback__
+                        )
+                    ),
+                    verbosity=stream.DEBUG,
+                )
+            raise InstallationError("\n" + "\n".join(error_msg))
diff --git a/pdm/iostream.py b/pdm/iostream.py
index a3c137875f15777eb81d99a5582dde35983a4eb0..3a51f3fd24d0e29f5a9175366cc64251ef280cdc 100644
--- a/pdm/iostream.py
+++ b/pdm/iostream.py
@@ -91,7 +91,10 @@ class IOStream:
 
         logger = logging.getLogger(__name__)
         logger.setLevel(logging.DEBUG)
-        handler = logging.FileHandler(file_name, encoding="utf-8")
+        if self.verbosity >= self.DETAIL:
+            handler = logging.StreamHandler()
+        else:
+            handler = logging.FileHandler(file_name, encoding="utf-8")
         handler.setLevel(logging.DEBUG)
         logger.addHandler(handler)
         pip_logger = logging.getLogger("pip")
@@ -100,7 +103,8 @@ class IOStream:
             self.logger = logger
             yield logger
         except Exception:
-            self.echo(self.yellow(f"See {file_name} for detailed debug log."))
+            if self.verbosity < self.DETAIL:
+                self.echo(self.yellow(f"See {file_name} for detailed debug log."))
             raise
         else:
             try:
diff --git a/pdm/models/environment.py b/pdm/models/environment.py
index a8eed01f658238da6be104ab3851d5db43f1b4aa..3972610af3769bd791ebc562bceddc933dec4fe9 100644
--- a/pdm/models/environment.py
+++ b/pdm/models/environment.py
@@ -82,6 +82,7 @@ class Environment:
         """
         self.python_requires = project.python_requires
         self.project = project
+        self._wheel_ensured = False
 
     @cached_property
     def python_executable(self) -> str:
@@ -307,7 +308,11 @@ class Environment:
             # Now all source is prepared, build it.
             if ireq.link.is_wheel:
                 return (self.project.cache("wheels") / ireq.link.filename).as_posix()
-            builder_class = EditableBuilder if ireq.editable else WheelBuilder
+            if ireq.editable:
+                builder_class = EditableBuilder
+            else:
+                builder_class = WheelBuilder
+                self.ensure_wheel_package()
             kwargs["finder"] = finder
             with builder_class(ireq) as builder, self.activate():
                 return builder.build(**kwargs)
@@ -335,6 +340,19 @@ class Environment:
         # Fallback to use shutil.which to find the executable
         return shutil.which(command, path=os.getenv("PATH"))
 
+    def ensure_wheel_package(self) -> None:
+        """Ensure wheel package is available and install if it isn't."""
+        from pdm.installers import Installer
+        from pdm.models.requirements import parse_requirement
+        from pdm.models.candidates import Candidate
+
+        if self._wheel_ensured or "wheel" in self.get_working_set():
+            return
+        req = parse_requirement("wheel")
+        candidate = Candidate(req, self, "wheel")
+        Installer(self).install(candidate)
+        self._wheel_ensured = True
+
 
 class GlobalEnvironment(Environment):
     """Global environment"""