Due to the often hypersonic flight speed of ballistic missiles, the ASBM's kinetic energy alone may be sufficient to cripple or outright destroy a supercarrier with a single conventional warhead impact. However, unlike a nuclear warhead, this will require a direct hit to be effective, thus unlike a typical ballistic missile, which follows a ballistic flight path after the relatively brief initial phase of powered flight, an ASBM would require a precise and high-performance terminal guidance system, with advanced sensors and in-flight calibrations in order to successfully hit a moving target.
The 4K18 was a Soviet Union intermediate-range ballistic anti-ship missile (also known as R-27K, where "K" stands for Korabelnaya which means "ship-related") NATO SS-NX-13. Initial submarine testing began on 9 December 1972 on board the K-102, a project 605 class submarine. Test firings were carried out between 11 September and 4 December 1973. Following the initial trials, the K-102 continued making trial launches with both the R-27 and the R-27K, until it was accepted for service on 15 August 1975.
Using external targeting data, the R-27K/SS-NX-13 would have been launched underwater to a range of between 350-400 nm (650–740 km), covering a "footprint" of 27 nm (50 km). The Maneuvering Re-Entry vehicle (MaRV) would then home in on the target with a CEP of 400 yards (370 m). Warhead yield was between 0.5-1 Mt.
The R-27K / SS-NX-13 was the world's first Anti Ship Ballistic Missile. However it never became operational, since every launch tube used for the R-27K counted as a strategic missile in the SALT agreement, and they were considered more important.
China has inducted the world's first  operational anti-ship ballistic missile, a "carrier killer" capable of carrying both conventional and nuclear warheads, known as the DF-21D. In 2010, it was reported that China had entered the DF-21D into its early operational stage for deployment.
The DF-26, first revealed on the 2015 Victory Day Parade, is also able to carry anti-ship warheads, possibly hypersonic glide vehicles like the DF-ZF, to attack medium and large naval vessels out to ranges of 3,500–5,000 kilometres (2,200–3,100 mi).
China is apparently working on a second-generation ASBM using hypersonic maneuverable reentry vehicle technology tested on the DF-ZF. This would allow the warhead to search for the current location of the carrier, instead of just dropping towards the predicted spot it was initially aiming at. The high speed maneuvers would also make the missile much harder to intercept.
Indian navy currently has ship launched Dhanush ballistic missile in use for anti-ship roles. It is has a range of 750 km (470 mi) capable of anti-ship operations. Another missile Agni-P, a technology spin off variant of Agni-IV and Agni-V has been speculated to be capable of undertaking ASBM roles or predecessor of a carrier-killer missile currently under development.
In February 2011, Iran demonstrated a short-range anti-ship ballistic missile named Persian Gulf or Khalij Fars, a missile based on the Fateh-110 which successfully hit a stationary target vessel. It has been reported as a short ranged ballistic missile with a range of 250–300 km. Iran also reports successful test of the Emad missile to target aircraft carriers at a range of more than 1,000km .
On 24 March 2022, during Russo-Ukrainian War, it was reported that a Tochka missile hit an Alligator-class landing ship in the Port of Berdiansk. Two other landing ships were also damaged in the strike and one could be seen leaving the port slowly.  
The United States Navy fields what some experts think to be the best, on paper; midcourse anti-ballistic defense in the world, and is developing high powered lasers for terminal-defense against anti-ship ballistic missiles. The U.S. arsenal has a variety of potential countermeasures. According to a senior political scientist at the RAND Corporation, Roger Cliff, an anti-ship ballistic missile is not useful without additional complex ship detection, data processing and communication systems, all of which, including the missile itself, could be jammed or spoofed, though the USN has never demonstrated such an ability.
The CM-401 is guided by a radar seeker that can track surface ships or use synthetic aperture (SAR) to image the ground to attack ground facilities such as ports
Latest Russian air-to-ground missiles are pretty accurate due to the use of modern guidance systems with satellite navigation capability.