Meanwhile, a total of 1,051,830 vaccine doses have been delivered to the country since the end of December, the office said.
It added in a tweet that 32 adverse reactions had been reported among those who received the shots by Monday and that 392 doses had been wasted in the rollout.
Poland on Monday confirmed 4,622 new coronavirus infections and 75 more deaths, bringing its total number of cases to 1,390,385 and fatalities to 31,264.
Prime Minister Mateusz Morawiecki announced last month that his government had secured vaccines for the Polish population from six leading international drug makers.
The latest shipment of 360,000 doses of a COVID-19 vaccine developed by US pharmaceutical firm Pfizer and its German partner BioNTech arrived at Warsaw's Chopin Airport on Monday morning, according to Michał Kuczmierowski, head of the country's Material Reserves Agency (ARM).
At the end of last month, the government launched a media campaign called Szczepimy Się (Let's Get Vaccinated) to encourage Poles to get COVID-19 shots.
In the first quarter of this year, a total of 2.94 million people are expected to be vaccinated for COVID-19 throughout the country.
Frontline healthcare workers are first in line to be inoculated, followed by pensioners in nursing homes, people over 60, police, soldiers and teachers.
Citizens over 80 will be able to sign up for COVID-19 shots from January 15.
Poland plans to spend PLN 3 billion (EUR 675 million, USD 820 million) on over 60 million doses of coronavirus vaccines under a national inoculation program adopted by the government.