Hodeida, which lies almost due west of the capital Sanaa, is held by the Houthi forces and allied army units.
They retain control of the northern highlands and the Red Sea coastal plain as far south as Ibb, which lies around 200 kilometers (120 miles) southeast of the port.
Aid groups have previously complained that the coalition naval blockade has stopped relief supplies entering Yemen, which is suffering a humanitarian crisis.
Fighting also continued overnight in Yemen's third city, Taiz, Reuters reported.
Taiz is around 50 kilometers south of Ibb.
On March 26, Saudi Arabia and some of its Arab allies, including the UAE, Kuwait, Qatar and Bahrain, began to launch deadly airstrikes against the Houthi Ansarullah movement in an attempt to restore power to the fugitive former President Abd Rabbuh Mansour Hadi, a close ally of Riyadh.
More than 4000 people, many of them children and women, have been killed in the Saudi-led aggression against the Arab country so far.