Which ChromeDriver version is compatible with which Chrome Browser version?

After 2.46, the ChromeDriver major version matches Chrome

chromedriver    chrome
76.0.3809.68    76
75.0.3770.140   75
74.0.3729.6     74
73.0.3683.68    73

It seems compatibility is only guaranteed within that revision.

If you need to run chromedriver across multiple versions of chrome for some reason, well, plug the latest version number of chrome you're using into the Chromedriver version selection guide, then hope for the best. Actual compatibility will depend on the exact versions involved and what features you're using.

Older version compatibility matrix

Here is a chart of the compatibility between chromedriver and chrome. This information can be found at the Chromedriver downloads page.

chromedriver    chrome
2.46            71-73
2.45            70-72
2.44            69-71
2.43            69-71
2.42            68-70
2.41            67-69
2.40            66-68
2.39            66-68
2.38            65-67
2.37            64-66
2.36            63-65
2.35            62-64
2.34            61-63
2.33            60-62
---------------------
2.28            57+
2.25            54+
2.24            53+
2.22            51+
2.19            44+
2.15            42+

All versions are not cross-compatible.

For example, we had a bug today where chromedriver 2.33 was trying to run this on Chrome 65:

((ChromeDriver) driver).findElement(By.id("firstName")).sendKeys("hello")

Due to the navigation changes in Chrome 63, updated in Chromedriver 2.34, we got back

unknown error: call function result missing 'value'

Updating to Chromedriver 2.37 fixed the issue.

I found, that chrome and chromedriver versions support policy has changed recently.

As stated on downloads page:

There is general guide to select version of crhomedriver for specific chrome version: https://sites.google.com/a/chromium.org/chromedriver/downloads/version-selection

Here is excerpt:

• First, find out which version of Chrome you are using. Let's say you have Chrome 72.0.3626.81.
• Take the Chrome version number, remove the last part, and append the result to URL "https://chromedriver.storage.googleapis.com/LATEST_RELEASE_". For example, with Chrome version 72.0.3626.81, you'd get a URL "https://chromedriver.storage.googleapis.com/LATEST_RELEASE_72.0.3626".
• Use the URL created in the last step to retrieve a small file containing the version of ChromeDriver to use. For example, the above URL will get your a file containing "72.0.3626.69". (The actual number may change in the future, of course.)
• Use the version number retrieved from the previous step to construct the URL to download ChromeDriver. With version 72.0.3626.69, the URL would be "https://chromedriver.storage.googleapis.com/index.html?path=72.0.3626.69/".
• After the initial download, it is recommended that you occasionally go through the above process again to see if there are any bug fix releases.

Note, that this version selection algorithm can be easily automated. For example, simple powershell script in another answer has automated chromedriver updating on windows platform.