Instagram does not provide a way to download stories to your phone, computer, or any other device. Often, you can see an intriguing story on Instagram and wish you had it on your device for sharing or even viewing after the 24-hour limit that Instagram has introduced has lapsed. With this challenge in mind, there are a number of tools designed to help you download an Instagram story easily and effortlessly.
In the article

1. Story Downloader
Story Downloader is a web application that allows you to download Instagram stories directly to your device without paying a penny.
1. Go to Instagram and copy the person's username, except ampersand, and save it on your clipboard.
2. Go to Story Downloader, enter the username in the input field, 'Enter Instagram username' and click the 'Get Stories' button.
3. View the user's Instagram stories anonymously, or download and save them on your device for later
4. Igstorie
Igstorie is an online web application for downloading and viewing Instagram stories and highlights anonymously for free.

1. Copy or write down the Instagram username of the person whose story you want to download
2. Then go to Igstorie, paste the Instagram username in the input field
3. Click the "Download" button
4. Click on 'Preview / Download Stories'
5. Click on the 'Download' button below the story
6. SaveIG
SaveIG gives you a very simple way to download and save Instagram stories, and stories highlight photos and videos to your PC, Mac, phone, tablet, or any other device.
1. Go to SaveIG and search for the username of the account whose history you want to download
2. Click/tap on that person's account from the displayed list
3. Navigate to 'Stories'
4. Click on 'Download'
5. InstaView
InstaView helps you save Instagram stories to your computer or phone for offline viewing or sharing.

1. Go to InstaView, type the username of the account whose history you want to download, and click the "Download Now" button.
2. Click the "Download Now" button again under the profile.
3. Under the stories, you can see the 'Download now' button; click on it to start the download.
4. Install Videos Downloader
Insta Videos Downloader allows you to download Instagram stories and highlight stories or view Instagram stories online. View Instagram stories anonymously and select the ones you want to save. Download any Instagram story, or view them online with the click of a button.
1. Open an Instagram profile from which you want to retrieve and save Instagram stories
2. Copy the URL / link to the Instagram profile or username
3. Go to Insta Videos Downloader, paste the copied Instagram profile URL or username into the URL field
4. Click 'Download' to download an Instagram story

Source: igfind.com