diff --git a/lib/setup-julia.js b/lib/setup-julia.js
index 93079c6..9863b10 100644
--- a/lib/setup-julia.js
+++ b/lib/setup-julia.js
@@ -18,11 +18,55 @@ Object.defineProperty(exports, "__esModule", { value: true });
 const core = __importStar(require("@actions/core"));
 const exec = __importStar(require("@actions/exec"));
 const tc = __importStar(require("@actions/tool-cache"));
+const https = __importStar(require("https"));
 const os = __importStar(require("os"));
 const path = __importStar(require("path"));
+const semver = __importStar(require("semver"));
 // Store information about the environment
 const osPlat = os.platform(); // possible values: win32 (Windows), linux (Linux), darwin (macOS)
 core.debug(`platform: ${osPlat}`);
+function getJuliaReleases() {
+    return __awaiter(this, void 0, void 0, function* () {
+        // Wrap everything in a Promise so that it can be called with await.
+        return new Promise((resolve, reject) => {
+            const options = {
+                hostname: 'api.github.com',
+                path: '/repos/julialang/julia/releases?per_page=100',
+                method: 'GET',
+                headers: {
+                    'Accept': 'application/vnd.github.v3+json',
+                    'User-Agent': `${process.env.GITHUB_ACTION} Action running in ${process.env.GITHUB_REPOSITORY}`
+                }
+            };
+            https.request(options, res => {
+                let data = '';
+                res.on('data', d => {
+                    data += d;
+                });
+                res.on('end', () => {
+                    resolve(JSON.parse(data).map((r) => r.tag_name));
+                });
+            }).on('error', err => {
+                reject(new Error(`Error while requesting Julia versions from GitHub:\n${err}`));
+            }).end();
+        });
+    });
+}
+function getJuliaVersion(versionInput) {
+    return __awaiter(this, void 0, void 0, function* () {
+        if (semver.valid(versionInput) == versionInput) {
+            // versionInput is a valid version, use it directly
+            return versionInput;
+        }
+        // use the highest available version that matches versionInput
+        const releases = yield getJuliaReleases();
+        const version = semver.maxSatisfying(releases, versionInput);
+        if (version == null) {
+            throw `Could not find a Julia version that matches ${versionInput}`;
+        }
+        return version;
+    });
+}
 function getMajorMinorVersion(version) {
     return version.split('.').slice(0, 2).join('.');
 }
@@ -95,8 +139,9 @@ function installJulia(version, arch) {
 function run() {
     return __awaiter(this, void 0, void 0, function* () {
         try {
-            const version = core.getInput('version');
+            const versionInput = core.getInput('version');
             const arch = core.getInput('arch');
+            const version = yield getJuliaVersion(versionInput);
             core.debug(`selected Julia version: ${arch}/${version}`);
             // Search in cache
             let juliaPath;
diff --git a/package.json b/package.json
index c3a5865..bec7122 100644
--- a/package.json
+++ b/package.json
@@ -23,11 +23,11 @@
   "license": "MIT",
   "dependencies": {
     "@actions/core": "^1.0.0",
-    "@actions/io": "^1.0.0",
     "@actions/exec": "^1.0.0",
     "@actions/github": "^1.0.0",
+    "@actions/io": "^1.0.0",
     "@actions/tool-cache": "^1.0.0",
-    "semver": "^6.1.1"
+    "semver": "^6.3.0"
   },
   "devDependencies": {
     "@types/jest": "^24.0.13",
diff --git a/src/setup-julia.ts b/src/setup-julia.ts
index 8dc74ff..a098030 100644
--- a/src/setup-julia.ts
+++ b/src/setup-julia.ts
@@ -2,13 +2,61 @@ import * as core from '@actions/core'
 import * as exec from '@actions/exec'
 import * as tc from '@actions/tool-cache'
 
+import * as https from 'https'
 import * as os from 'os'
 import * as path from 'path'
 
+import * as semver from 'semver'
+
 // Store information about the environment
 const osPlat = os.platform() // possible values: win32 (Windows), linux (Linux), darwin (macOS)
 core.debug(`platform: ${osPlat}`)
 
+async function getJuliaReleases(): Promise<string[]> {
+    // Wrap everything in a Promise so that it can be called with await.
+    return new Promise((resolve, reject) => {
+        const options = {
+            hostname: 'api.github.com',
+            path: '/repos/julialang/julia/releases?per_page=100',
+            method: 'GET',
+            headers: {
+                'Accept': 'application/vnd.github.v3+json', // locks GitHub API version to v3
+                'User-Agent': `${process.env.GITHUB_ACTION} Action running in ${process.env.GITHUB_REPOSITORY}`
+            }
+        }
+        
+        https.request(options, res => {
+            let data = ''
+
+            res.on('data', d => {
+                data += d
+            })
+
+            res.on('end', () => {
+                resolve(JSON.parse(data).map((r) => r.tag_name as string))
+            })
+        }).on('error', err => {
+            reject(new Error(`Error while requesting Julia versions from GitHub:\n${err}`))
+        }).end()
+    })
+}
+
+async function getJuliaVersion(versionInput: string): Promise<string> {
+    if (semver.valid(versionInput) == versionInput) {
+        // versionInput is a valid version, use it directly
+        return versionInput
+    }
+
+    // use the highest available version that matches versionInput
+    const releases = await getJuliaReleases()
+    const version = semver.maxSatisfying(releases, versionInput)
+    if (version == null) {
+        throw `Could not find a Julia version that matches ${versionInput}`
+    }
+
+    return version
+}
+
 function getMajorMinorVersion(version: string): string {
     return version.split('.').slice(0, 2).join('.')
 }
@@ -81,8 +129,9 @@ async function installJulia(version: string, arch: string): Promise<string> {
 
 async function run() {
     try {
-        const version = core.getInput('version')
+        const versionInput = core.getInput('version')
         const arch = core.getInput('arch')
+        const version = await getJuliaVersion(versionInput)
         core.debug(`selected Julia version: ${arch}/${version}`)
 
         // Search in cache