diff --git a/src/Qir/Runtime/README.md b/src/Qir/Runtime/README.md
index c12eacdd5eb..ca78e33afa0 100644
--- a/src/Qir/Runtime/README.md
+++ b/src/Qir/Runtime/README.md
@@ -2,7 +2,7 @@
 
 This folder contains the Quantum Intermediate Representation (QIR) Runtime project. The QIR is a subset of the [LLVM](https://llvm.org/) Intermediate Representation.
 The QIR runtime includes an implementation of the
- [QIR specification](https://github.com/microsoft/qsharp-language/tree/main/Specifications/QIR) and the bridge to
+ [QIR specification](https://github.com/qir-alliance/qir-spec) and the bridge to
  run QIR against the native full state simulator.
 
 - `public` folder contains the public headers
@@ -98,7 +98,7 @@ For tests that depend on the native simulator and qdk shared libraries, you migh
 ## QIR Bridge and Runtime
 
 This project contains an implementation of the QIR runtime per the
- [QIR specifications](https://github.com/microsoft/qsharp-language/tree/main/Specifications/QIR) and the translation
+ [QIR specifications](https://github.com/qir-alliance/qir-spec) and the translation
  layer between the QIR and the IR, generated by Clang from the native code. Translation layer is called the "QIR Bridge".
 
 ![QIR Bridge architecture diagram](qir.png?raw=true "QIR Bridge architecture diagram")
diff --git a/src/Qir/Runtime/lib/README.md b/src/Qir/Runtime/lib/README.md
index dc13b07d59f..c29f64860de 100644
--- a/src/Qir/Runtime/lib/README.md
+++ b/src/Qir/Runtime/lib/README.md
@@ -16,7 +16,7 @@ Is a project defined [here](../../../Simulation/QSharpFoundation).
 Is a project defined [here](../../../Simulation/QSharpCore).
 
 ## QIR
-Anything that is required by the [QIR specs](https://github.com/microsoft/qsharp-language/tree/main/Specifications/QIR),
+Anything that is required by the [QIR specs](https://github.com/qir-alliance/qir-spec),
 which in particular includes the ["methods that delegate to the simulators"](QIR/bridge-rt.ll#46), should live in the QIR folder.
 They require support from the backend, but are not language-specific.  
 Both the Q# Core and the Q# Foundation are Q#-specific in that these are the target instructions that the Q# libraries are built on.
diff --git a/src/Qir/Runtime/lib/Tracer/README.md b/src/Qir/Runtime/lib/Tracer/README.md
index 43993131345..ed0ec4e74dd 100644
--- a/src/Qir/Runtime/lib/Tracer/README.md
+++ b/src/Qir/Runtime/lib/Tracer/README.md
@@ -6,7 +6,7 @@ The purpose of the Resource Tracer is to provide efficient and flexible way to e
  for more background on resource estimation for quantum programs.
 
 To run against the tracer, the quantum program should comply with the
- [QIR specifications](https://github.com/microsoft/qsharp-language/tree/main/Specifications/QIR) as well as:
+ [QIR specifications](https://github.com/qir-alliance/qir-spec) as well as:
 
 1. convert _each_ used intrinsic operation into one of the Quantum Instruction Set (_qis_) operations supported by the
  tracer (see the last section of this readme);