Further bolstering the Bitcoin movement, Lightspeed Venture Partners and other investors have pledged to back all Bitcoin-related startups graduating from Adam Draper's new incubator Boost VC.

The move comes during a surge in interest around the crypto-currency and its potential to expand from a niche $1 billion market of enthusiasts to a multi-trillion dollar mainstream marketplace. U.S. regulators acknowledged the currency earlier this year and venture capitalists including Andreessen Horowitz and Tribeca Ventures are among...