There are several desktop apps available that support the monitoring of text messages for Android and iOS users. Popular apps include MightyText, PushBullet and myPhoneDesktop.
MightyText is a free to download app that gives Android users access to their contacts and supports the sending and receiving of text messages from the desktop. PushBullet is a browser extension that shows users the notification stream of their mobile device as a drop-down menu inside Google Chrome. The myPhoneDesktop app gives iPhone owners access to many of their phone's features, including sending and receiving text messages, from their Windows, Mac OS or Linux desktop computers.