diff --git a/src/kirin/analysis/joint.py b/src/kirin/analysis/joint.py
new file mode 100644
index 000000000..2c6b52078
--- /dev/null
+++ b/src/kirin/analysis/joint.py
@@ -0,0 +1,69 @@
+from dataclasses import dataclass
+
+from kirin import ir, interp
+from kirin.lattice import BoundedLattice
+
+from .forward import Forward, ForwardFrame
+
+
+@dataclass
+class JointLattice(BoundedLattice["JointLattice"]):
+    sublattices: tuple[BoundedLattice, ...]
+
+    @classmethod
+    def top(cls) -> "JointLattice":
+        return cls(tuple(sublattice.top() for sublattice in cls.sublattices))
+
+    @classmethod
+    def bottom(cls) -> "JointLattice":
+        return cls(tuple(sublattice.bottom() for sublattice in cls.sublattices))
+
+    def is_subseteq(self, other: "JointLattice") -> bool:
+        return all(
+            sublattice.is_subseteq(other_sublattice)
+            for sublattice, other_sublattice in zip(self.sublattices, other.sublattices)
+        )
+
+    def join(self, other: "JointLattice") -> "JointLattice":
+        return JointLattice(
+            tuple(
+                sublattice.join(other_sublattice)
+                for sublattice, other_sublattice in zip(
+                    self.sublattices, other.sublattices
+                )
+            )
+        )
+
+    def meet(self, other: "JointLattice") -> "JointLattice":
+        return JointLattice(
+            tuple(
+                sublattice.meet(other_sublattice)
+                for sublattice, other_sublattice in zip(
+                    self.sublattices, other.sublattices
+                )
+            )
+        )
+
+
+@dataclass
+class JointAnalysis(Forward[JointLattice]):
+    keys = ["constprop"]
+    lattice = JointLattice
+    subanalyses: tuple[Forward, ...]
+
+    def initialize(self):
+        super().initialize()
+        for analysis in self.subanalyses:
+            analysis.initialize()
+        return self
+
+    def eval_stmt(
+        self, frame: ForwardFrame[JointLattice, None], stmt: ir.Statement
+    ) -> interp.StatementResult[JointLattice]:
+        results = tuple(
+            analysis.eval_stmt(analysis.state.current_frame(), stmt)
+            for analysis in self.subanalyses
+        )
+        first_result = results[0]
+        if isinstance(first_result, tuple):
+            tuple(JointLattice(each_results) for each_results in zip(*results))