One former colonel was in a critical condition in hospital after attempting to climb a wall and falling.
The protests were sparked by government plans to reform the military pension system, part of a wider pension cutbacks programme which triggered mass protests last year.
Legislators passed a pension reform bill last June, cutting civil servants' generous pension packages as the government warned it could no longer pay out on the high-interest deals.
A separate bill targeting military pensions is expected to be discussed in the current parliament session.
Also Read
Dozens of protesters Tuesday pushed down a gate to the parliament compound in downtown Taipei as police attempted to stop them from rushing in.
Retired general Wu Sz-huai fainted in the skirmish while former colonel Miao Te-sheng was seriously injured.
Video footage showed a police officer trying to break Miao's fall as he slipped from the second storey of a building, landing on his back.
"We have spent more than a year protesting on the streets. The Democratic Progressive Party (DPP) government has completely ignored us, our petitions and protests," one protester said in a video posted on the organising group's Facebook page.
The presidential office appealed to protesters to remain calm and said the government had taken account of veterans' concerns in drafting reforms.
"Military pension reforms are to ensure the pension system can develop sustainably," it said in a statement.
"Within the limits the state finance allows ... we hope to offer the best solution," it added.
Taiwan's pension schemes vary for different occupations and public sector retirees typically receive more generous packages than workers from other sectors which fall under a different labour pension system.
Among the reforms is the phasing out of a preferential 18 percent interest on savings for civil servants and military personnel.
Disclaimer: No Business Standard Journalist was involved in creation of this content